Q30 of 56 Page 17

Find the L.C.M of 72, 80 and 120 using the fundamental theorem of arithmetic.

First, we will find out the prime factors of each number separately

Prime factors of 72 = 2 × 2 × 2 × 3 × 3 = 23 × 32


Prime factors of 80 = 2 × 2 × 2 × 2 × 5 = 24 × 5


Prime factors of 120 = 2 × 2 × 2 × 3 × 5 = 2 3 × 3 × 5


L.C.M is product of the highest power of each common factor


L.C.M = 2 × 2 × 2 × 2 × 5 × 3 × 3


=720


L.C.M of 72, 80 and 120 is 720.


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