Question

Find the greatest 6 digit number which is exactly divisible by 24 ,15,36

Answer 1

Answer:

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

HOPE IT WILL HELP U

Answer 2

the gretest 6 digit no. number which are exactly divisible by 15,24,36 is 999720
because
999720÷15=66648
999720÷24=41655
999720÷36=27770