Question

Find the greatest number of five digits exactly divisible by 56

Answer 1

Answer:

We will find out the LCM of 24, 15 and 36

24= 2×2×2×3

15=3×5

36=2×2×3×3

LCM of (24, 15 and 36) = 2×2×2×3×3×5=360

Now, greatest 5- digit number =99999

Now we will divide this number by the LCM of (24, 15 and 36)

99999/360 will get remainder 279

Now, 99999-279= 99720

Hence the greatest five digit number exactly divisible by 24 ,15 and 36 is 99720