Answer: LCM of (24, 36, 40) = 360
The LCM (Least common multiple) in arithmetic, LCM (a,b) is the least common multiple of two numbers, a and b. And the LCM is the smallest or least positive integer that is divisible by both a and b.
Example:
Consider the two number 8 and 12 and let us write the multiples of two numbers.
Multiples of 8 = 16, 24, 32, 40 ,48, 56……
Multiples of 12 = 24, 36, 48, 60, 72………
From the above list, we can observe that least common multiples of 8 and 12 is 24.
I.e LCM (8, 12) = 24
Given numbers 24,36 and 40
Let us find the prime factorization of the given numbers
24 = 2 × 3 × 2 × 2
36 = 2 × 3 × 3 × 2
40 = 2 × 2 × 2 × 5
LCM of (24, 36, 40) =2 × 3 × 2 × 2 × 3 × 5
LCM of (24, 36, 40) = 360
