Question

find the L.C.M by prime factorization method of 60 and 75​

Answer 1

Step-by-step explanation:

Prime factorization of 60- 2 × 2 × 3 × 5

prime factorization of 75- 3 × 5 × 5

We know that LCM is the Lowest Common factor

we take the common factor in both the numbers with the highest power and multiply the remaning-

Common- 3 x 5

Remaing- 2 x 2

Hence LCM - 3 x 5 x 5 x 2 x 2

=300

Answer 2

 

_5_ __60___ 75___

_3_ ____12___15______

_3_ ______4____3____

__2__ ______4____1_______

__2___ _____2_____1____

_______ ____1______1__

lcm of 60,75=5×3×3×2×2=180

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