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?
What will be the greatest 3-digit number which divides 2, 4, 6 and leaves remainder 0? You are here
Ex 3.7, 6
Statement questions on LCM
Last updated at March 23, 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 greatest 3-digit number which will divide 2, 4, 6
Greatest 3 digit number = 999
We divide 999 by 12
So remainder is 3
But we need to find a number where remainder is 0.
So, 996 is the greatest 3 digit number
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What will be the greatest 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 greatest 3-digit number which will divide 2, 4, 6 Greatest 3 digit number = 999 We divide 999 by 12 So remainder is 3 But we need to find a number where remainder is 0. Required number = 999 3 = 996 So, 996 is the greatest 3 digit number
