Question

Q.7. Find the L.C.M of the following:
(a) 12 and 18
(b) 20, 24 and 45​

Answer 1

Answer:

36

360

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Answer 2

a) First find the prime factors of 12 and 18.

Prime factors of 12 are:

2×2×3

Prime factors of 18 are:

2×3×3

Now, we in order to find the LCM of 12 and 18 , we need to take the common factors only once(Factors in bold) and also the uncommon ones.

So the LCM will be like this = 2 x 3 x 2 x 3 = 36.

b) First find prime factors of 20, 24 and 45.

Prime factors of 20 are:

2×2×5

Prime factors of 24 are:

2×2×2×3

Prime factors of 45 are:

3×3×5

The LCM of 20, 24 and 45 is the result of multiplying all prime factors the greatest number of times they occur in either number.

2×2×2×3×3×5

The LCM of 20, 24 and 45 is:

2×2×2×3×3×5 = 360

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