Find the LCM of 24, 36 and 40.

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

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