Question

Determine the largest 4 digit number divisible by 8,12 and 14.​

Answer 1

9960 is the greatest 4-digit number divisible by 8, 12 and 14.

Find the LCM of 8,12 and 20.

∴ LCM of given numbers = 2 × 2 × 3 × 5 = 120

We need a greatest number of 4 -digit which is exactly divisible by 120.

Greatest number of 4-digit = 9999

We divide 9999 by 120 and find the remainder.

∴ The required number = 9999 − 39 = 9960

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