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The LCM of 30, 13, 180 and 234 is:
Question

The LCM of 30, 13, 180 and 234 is:

A.

2409

B.

2340

C.

2379

D.

2291

Correct option is B

Given:
The numbers are 30, 13, 180, and 234.
Concept Used:
The Least Common Multiple (LCM) of numbers can also be found by prime factorization
Solution:
Prime factorization of 30 = 2 × 3 × 5
Prime factorization of 13 = since 13 is a prime number
Prime factorization of 180 = 2² × 3² × 5
Prime factorization of 234 = 2 × 3² × 13
Now, select the highest power of each prime factor:
LCM = 2² × 3² × 5 × 13
LCM = 4 × 9 × 5 × 13
LCM = 2340
Thus, the LCM of 30, 13, 180, and 234 is 2340.

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