What is the only largest 5 digit number that is divisible by 24 and50?

Answer 1

# The prime factors of 24 are 2, 2, 2, and 3. # The prime factors of 50 are 2, 5 and 5. # Therefore the Lowest Common Multiple of 24 and 50 is made up of 2, 2, 2, 3, 5 and 5. # 2 x 2 x 2 x 3 x 5 x 5 = 600

As 99,999 is the largest 5-digit number we need to divide 99,999 by 600 and then use the integer part of the result as follows.

99,999 ÷ 600 = 166.665

If we ignore the decimal portion of the number and multiply the 166 by 600 we get the largest multiple of 600 which is still a 5-digit number.

166 x 600 = 99,600