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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 You are here
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?
Ex 3.7, 6
Statement questions on LCM
Last updated at May 29, 2023 by Teachoo
Lets find smallest number divisible by 8, 10, 12 Smallest number divisible by 8, 10, 12 = LCM of 8, 10, 12 LCM of 8, 10, 12 So LCM = 2 × 2 × 2 × 3 × 5 = 120 ∴ 120 is the smallest number divisible by 8, 10, 12 Now, We need to find greatest 3-digit number divisible by 8, 10 and 12 Greatest 3 digit number = 999 We divide 999 by 120 So remainder is 39 But we need to find a number where remainder is 0. ∴ Required number = 999 − 39 = 960 So, 960 is the greatest 3 digit number