Question

7. Find the greatest 4 digit number which is exactly divisible by 18, 32 and 27.
《its answer =9504》
PLZ EXPLAIN
​

Answer 1

Answer:

The LCM is

12 = 3*4 = 2*2*3

(convert these numbers into prime factors)

15 = 3*5

18 = 2*3*3

27 = 3*3*3

LCM is found by multiplying the prime numbers with their maximum powers.

LCM = 3*3*3*2*2*5 (highest power of 3 is in 27, 2 in 12 and 5 in 15)

Hence LCM = 540