Question

find the LCM of 5 and 30 by using prime factorization in full explanation
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Answer 1

Answer:

LCM of 5 and 30 by Prime Factorization

Step-by-step explanation:

Prime factorization of 5 and 30 is (5) = 51 and (2 × 3 × 5) = 21 × 31 × 51 respectively. LCM of 5 and 30 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 21 × 31 × 51 = 30. Hence, the LCM of 5 and 30 by prime factorization is 30.

Answer 2

As per the data given in the question,

We have to determine the LCM of 5 and 30 by the method of prime factorization.

As we know that,

Prime numbers are those numbers which are either divisible by 1 or itself.

In Prime factorization method we factorize the given number in form of product of prime numbers.

So, we will write the number is form of prime numbers.

We will get it as,

$5= 5\times 1\\30 = 5\times 2 \times 3\\LCM = 5\times 2 \times 3 = 30$

Hence, LCM of 5 and 30 will be 30.