Question

find the greatest five digit number that can completely divided by 32,36 and 40

Answer 1

to find this first we have to find lcm of these all

so ,

32 = 2 ×2 × 2 ×2×2

36 = 2×2×3×3

40=2×2×2×5

so lcm = 2×2×2×2×2×3×3×5

= 1440

1440 ×70 = 100800


so 1440 × 69 = 99360

which is greatest number divisible by 32 , 36 and 40

Answer 2

Dear friend,
Here, the LCM of 32,36 and 40 is 1440.
The largest 5-digits number is 99999.
On dividing 99999 by 1440, the remainder =639.
Now, on subtracting the remainder 639 from 99999, we get =99360.
Therefore 99360 is the five digits number that is exactly divisible by 32,36 and 40.
Hope it helps you!!