Question

find the LCM of the following by prime factorisation method.

1. 32 and 48
2. 30 and 56
3. 60 and 90​

Answer 1

Answer:

224 IS THE ANSWER

Step-by-step explanation:

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Answer 2

To find LCM of 32 and 48, we have to write down the highest power of each prime factor and then multiply them. We have two prime factors, 2 and 3. 2 has the highest power of 5, and 3 has 1, so we can write the LCM as 25×3⇒96. So, we have got the LCM of 32 and 48 is 96.

Find the prime factorization of 30. 30 = 2 × 3 × 5.

Find the prime factorization of 56. 56 = 2 × 2 × 2 × 7.

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM: LCM = 2 × 2 × 2 × 3 × 5 × 7.

LCM = 840.

In this method,

We list the first few multiples of 60 and 90

Identify the common multiples.

The least among the common multiples is the LCM of 60 and 90.

Listing Multiples Method To Find LCM(60,90)