Question

. Find the greatest 3-digit number which is
divisible by the numbers 4, 5 and 6.
number which is step by step explain ​

Answer 1

Numbers: 4,5,6

Largest Three Digit number = 999

So,

LCM(4,5,6) = 60

Required number = 999 - (999 mod 60)

==> 999 - 39

==> 960

Hence, 960 is the required number.

Answer 2

Answer:

4 is 2*2 5 is prime, 6 is 2*3. So any number divisible by all three must be divisible by 2*2*3*5, which is 60. All multiples of 60 end in 0. The largest 3 digit number is 999, but the largest 3 digit number that ends in 0 is 990.