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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 You are here
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?
Ex 3.7, 6
Statement questions on LCM
Last updated at May 29, 2023 by Teachoo
Let’s first find smallest number divisible by 6, 8, 12 Smallest number divisible by 6, 8, 12 = LCM of 6, 8, 12 LCM of 6, 8, 12 So LCM = 2 × 2 × 2 × 3 = 24 ∴ 24 is the smallest number divisible by 6, 8, 12 Now, We need to find smallest 3-digit number divisible by 6, 8, 12 Smallest 3 digit number = 100 We divide 100 by 24 So remainder is 4 But we need to find a number where remainder is 0. ∴ Required number = 100 + (24 − 4) = 100 + 20 = 120 So, 120 is the smallest 3 digit number