Determine the largest 4 digit number divisible by 8,12 and 14.
Answers
Answered by
4
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
_______________________________
Similar questions