Question

Find the greatest no. Of 6 digit exactly divisible by 24, 15, 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

Greatest six digit number=999999

Greatest six digit number exactly divisible by given numbers=999999-remainder when 999999 is divided by LCM of given numbers

Greatest six digit number exactly divisible by given numbers=999999-279=999720

Hence greatest six digit number exactly divisible by 24 , 15 and 36 is 999720

Answer 2

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