greatest 3 digit number divisible by 6 8 12|Find the Greatest 3 Digit Number Divisible by the Given Numbers : Baguio Let us observe below. So, the smallest three digit multiple of 24 will be, 100 = (100 – 4) + 24 = 96 + 24 = 120. Hence, the smallest 3-digit number which is exactly divisible by 6, . FILE PHOTO: Vice President Sara Duterte —Senate PRIB. MANILA, Philippines — Members of the Makabayan bloc have condemned the House committee on appropriations for allegedly shielding Vice .
greatest 3 digit number divisible by 6 8 12,Question. Determine the smallest 3 -digit number which is exactly divisible by 6, 8, and 12. Solution. Smallest three digits number. First, we have to find the LCM of 6, 8, and 12. Multiples of 6, 8, and 12 are, Common Multiples of 6 → 6, 12, 18, 24, 30, 36, 42 ... .
Let us observe below. So, the smallest three digit multiple of 24 will be, 100 = (100 – 4) + 24 = 96 + 24 = 120. Hence, the smallest 3-digit number which is exactly divisible by 6, .LCM = 2 × 2 × 2 × 3 × 5 = 120. We have to find the greatest 3-digit multiple of 120. It can be seen that 120 ×8 = 960 and 120 × 9 = 1080. Hence, the greatest 3-digit number .
To determine the greatest 3-digit number exactly divisible by 8, 10, and 12, we need to find the LCM of the given numbers. Let's find the LCM of 8, 10, and 12 as shown below. .We have to find the smallest $$3$$-digit multiple of $$24$$. It can be seen that $$24\times 4=96$$ and $$24\times 5=120$$. Hence, the smallest $$3$$-digit number which is .Find the Greatest 3 Digit Number Divisible by the Given NumbersThe LCM will be the product of the prime factors obtained. We will now find the multiples of 24. The first multiple which comes out to be of 3 digits will be our final answer. Hence, .
Hence, the smallest 3-digit number which is exactly divisible by 6, 8 and 12 is 120. This is the required answer. Note: In such types of questions it is always advisable .
Question. Determine the smallest 3− digit number which is exactly divisible by 6, 8 and 12. Solution. Verified by Toppr. Smallest number divisible by 6, 8, 12 = L.C.M of 6, 8, 12. . If its hundreds (third-last) digit is even, a number is divisible by 8 if and only if the number formed by the last two digits is divisible by 8. If its hundreds digit is odd, a .greatest 3 digit number divisible by 6 8 12 Find the Greatest 3 Digit Number Divisible by the Given NumbersThe given numbers are 6, 8, 12. To do : We have to find the smallest three digit number which is divisible by 6, 8, 12. Solution : The smallest 3-digit which is exactly divisible .
We have to find the greatest three-digit number exactly divisible by the given numbers. Solution : The greatest 3 digit number exactly divisible by 8, 10 and 12 will be a multiple of the LCM of 8,10 and 12. LCM of 8,10 and 12 is, $8 = 2\times2\times2$ $10 = 2\times5$ $12 = 2\times2\times3$ LCM $= 2\times2\times2\times5\times3 = 120$.
The largest or greatest 3-digit number divisible by 5 is the last number on the list above (last 3 digit number divisible by 5). As you can see, that number is 995. How many even three digit numbers are divisible by 5? Below is a list of all 3-digit EVEN numbers divisible by 5 in chronological order. There are 90 even three digit numbers .Now, we need to find the smallest 3 − digit number divisible by 6, 8, 12. . Determine the greatest 3 − digit number which is exactly divisible by 8, 10 and 12. View Solution. Q4. Question 5. Determine the largest 3-digit number which is .
Click here:point_up_2:to get an answer to your question :writing_hand:find the greatest number of five digits which when divided by 3 5 8 12. Solve. Guides. Join / Login. Use app Login. 0. You visited us 0 times! Enjoying our articles? Unlock Full Access! . Find the greatest number of four digits which when divided by 10,11,15, and 22 leaves .Divisibility Rule of 12. If the number is divisible by both 3 and 4, then the number is divisible by 12 exactly. Example: 5864. Sum of the digits = 5 + 8 + 6 + 4 = 23 (not a multiple of 3) Last two digits = 64 (divisible by 4) The given number 5864 is divisible by 4 but not by 3; hence, it is not divisible by 12.
A number is divisible by 2 if the last digit is even i.e. 0, 2, 4, 6, or 8. Example: 138 is divisible by 2 because the last digit, 8, is even. 249 is not divisible by 2 because the last digit, 9, is not even. Divisible by 3: A number is divisible by 3 if the sum of the digits is divisible by 3. 372 is divisible by 3 because 3+7+2 = 12 and 12 ÷ .The largest or greatest 3-digit number divisible by 7 is the last number on the list above (last 3 digit number divisible by 7). As you can see, that number is 994. How many even three digit numbers are divisible by 7? Below is a list of all 3-digit EVEN numbers divisible by 7 in chronological order. There are 64 even three digit numbers .LCM (6, 8 and 12) = 24. By dividing 1000 (least four digit number) by 24, we get. 1000 - 16 ==> 984. So, 984 is the greatest 3 digit number which is divisible by 24. Problem 2 : Find the greatest 3 digit number exactly divisible by 8, 10 and 12. Solution : LCM (8, 10 and 12) = 120. 1000 - 40 ==> 960.
A divisibility rule is a heuristic for determining whether a positive integer can be evenly divided by another (i.e. there is no remainder left over). For example, determining if a number is even is as simple as checking to see if its last digit is 2, 4, 6, 8 or 0. Multiple divisibility rules applied to the same number in this way can help quickly determine its .We have to find the smallest $$3$$-digit multiple of $$24$$. It can be seen that $$24\times 4=96$$ and $$24\times 5=120$$. Hence, the smallest $$3$$-digit number which is exactly divisible by $$6, 8$$ and $$12$$ is $$120$$.
By BYJU'S Exam Prep. Updated on: September 25th, 2023. The smallest 3-digit number which is exactly divisible by 6, 8, and 12 is 120. Smallest three digits number. First, we have to find the LCM of given numbers that is 6, 8, and 12. Multiples of 6, 8, and 12 are. Common Multiples of 6 = 6, 12, 18, 24, 30, 36, ...99999 120, 99999 120, remainder = 39. ⇒ By subtracting remainder from 99999 we get the greatest five digits number which is completely divisible by given numbers (3, 5, 8, 12) ∴ 99999 - 39 = 99960. ⇒ Now, we required greatest five digit number which when divided by (3, 5, 8, 12) leaves remainder 2 in each case. ⇒ add 2 in the 99960. Repeat the process for larger numbers. Example: 357 (Double the 7 to get 14. Subtract 14 from 35 to get 21 which is divisible by 7 and we can now say that 357 is divisible by 7. .The largest or greatest 3-digit number divisible by 6 is the last number on the list above (last 3 digit number divisible by 6). As you can see, that number is 996. How many even three digit numbers are divisible by 6? Below is a list of all 3-digit EVEN numbers divisible by 6 in chronological order. There are 150 even three digit numbers .
First we have to find the LCM of $$ 8 , 20 $$ and $$ 24 $$ $$ \therefore \, $$ LCM of given numbers $$ = 2 \times 2 \times \times 2 \times 3 \times 5 = 120 $$ Greatest number of $$ 3 $$ digit is $$ 999 $$ We divide $$ 999 $$ by $$ 120 $$ and find the remainder According to given condition , we need a greatest $$3$$-digit number which is exactly divisible . So, LCM of 8, 10 and 12 is 120. But we want the least 4 digit number, which is exactly divisible by 8, 10 and 12. Smallest 4 digit number = 1000. Now, 1000 = (8 × 120) + 40 1000 = ( 8 × 120) + 40. Next higher quotient is 9. So, the required number = 9 × 120 = 1080. Hence, the required number is 1080, which is exactly divisible by 8, 10 and 12.
90 − 10 = 80. Step 3: If this number is 0 or a multiple of 7, then the original number is also divisible by 7. 80 is not divisible by 7. So, 905 is also not divisible by 7. Divisibility Rule of 8. If the number formed by the last three digits of a number is divisible by 8, we say that the number is divisible by 8.
greatest 3 digit number divisible by 6 8 12Solution. Verified by Toppr. The greatest four digit number = 9999. we can get the required number by following steps: step 1 : Divide 9999 by LCM of 15, 24 and 36. Step 2 : Subtract result of step 1 from 9999. Prime factorization : 15 = 3 × 5. 24 = 2 3 × 3.
greatest 3 digit number divisible by 6 8 12|Find the Greatest 3 Digit Number Divisible by the Given Numbers
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