Correct Answer - Option 2 : 25200
GIVEN:
The numbers = 24 × 32 × 7, 23 × 3 × 52, 5 × 32 × 7
CONCEPT:
To find the LCM, multiply all prime factors. But the common factors are included only once.
We should consider the highest power
Ex:- LCM of (22 × 31, 23 × 51)
The highest power of 2 is 3
The highest power of 3 and 5 is 1
LCM of (22 × 31, 23 × 51) = 23 × 3 × 5
CALCULATIONS:
LCM (24 × 32 × 7, 23 × 3 × 52, 5 × 32 × 7) = 24 × 32 × 52 × 7
∴ The L.C.M is 24 × 32 × 52 × 7
