Correct Answer - Option 1 : 360
Concept Used:
Concept of LCM
LCM (Lowest Common Multiple): LCM of x and y is the least common multiple of x and y which is perfectly divisible by both x and y
For Example,
3 → Multiple of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, …
4 → Multiple of 4 are 4, 8, 12, 16, 20, 24, 28, 32, …
Here common are 12 and 24. But of these 12 is lowest
∴ LCM of 3 and 4 is 12
Calculation:
Factors of 24, 36 and 40 are:
24 = 2 × 2 × 2 × 3
36 = 2 × 2 × 3 × 3
40 = 2 × 2 × 2 × 5
∴ LCM of 24, 36 and 40 = 2 × 2 × 3 × 3 × 2 × 5 = 360
LCM is the smallest common multiple of numbers.
