Question

Find the greatest of 6 digit exactly divisible by 24 15 and 36

Answer 1

Given integers,
24 , 15 and 36
Prime factorization of,
24=2³×3
15=3×5
36=2²×3²

LCM=product of each prime factor of highest power

LCM=2³×3²×5=360

999999/360 will get remainder 279.

Now 999999 – 279 = 999720.

Now we will check it out for the numbers we will get,

999720/24 = 41655

999720/15 = 66648

999720/36 = 27770

∴ 999720 is the greatest number 6-digit number divisible by 24,15 and 36.