Statement questions on LCM
What is the smallest number when divided by numbers 2, 4, 6 gives remainder 0?
What is the smallest number when divided by numbers 2, 4, 6 gives remainder 7?
Example 14 Important
Ex 3.7, 8 Important
Ex 3.7, 4
Ex 3.7, 9
Ex 3.7, 5 Important
Example 13
Ex 3.7, 2 Important
What will be the smallest 3-digit number which divides 2, 4, 6 and leaves remainder 0? You are here
What will be the greatest 3-digit number which divides 2, 4, 6 and leaves remainder 0?
Ex 3.7, 6
Statement questions on LCM
Last updated at May 29, 2023 by Teachoo
Smallest Number which divides 2, 4, 6 and leaves remainder 0
= LCM of 2, 4, 6
= 12
We need to find the smallest 3-digit number which will divide 2, 4, 6
Smallest 3 digit number = 100
We divide 100 by 12
So remainder is 4
But we need to find a number where remainder is 0.
So, 108 is the smallest 3 digit number divisible by 2, 4, 6
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What will be the smallest 3-digit number which divides 2, 4, 6 and leaves remainder 0? Smallest Number which divides 2, 4, 6 and leaves remainder 0 = LCM of 2, 4, 6 = 12 We need to find the smallest 3-digit number which will divide 2, 4, 6 Smallest 3 digit number = 100 We divide 100 by 12 If we get 12 here, the remainder will be 0. To get 12 we add (12 − 4) to number. So remainder is 4 But we need to find a number where remainder is 0. ∴ Required number = 100 + (12 − 4) = 100 + 8 = 108 So, 108 is the smallest 3 digit number divisible by 2, 4, 6
