Question

Find the greatest number of 6 digit exactly divisible by 24,15,36.

Answer 1

Answer:

99270

Step-by-step explanation:

by taking lcm

24 = 2^3×3^1

15=3^1×5^1

36=2^2×3^2

lcm (24,15,36) = 2^3×3^2×5= 8×9×5 = 360

well 360 is the smallest number exactly divisible by these three numbers

but the highest six digit number would be a factor of 360 and highest 6 digit number is 999999

the multiple of 360 which is closest to 999999 is our answer and by long division we find it as

999270

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