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The LCM of 2³ × 9² × 13, 2² × 13² × 19 and 9³ × 13² × 19² is:
Question

The LCM of 2³ × 9² × 13, 2² × 13² × 19 and 9³ × 13² × 19² is:

A.

2³ × 9³ × 13² × 19²

B.

2² × 9³ × 13 × 19²

C.

2³ × 9² × 13² × 19³

D.

2³ × 9² × 13² × 19

Correct option is A

Given:
1) 2³ × 9² × 13
2) 2² × 13² × 19
3) 9³ × 13² × 19²
Formula Used:
LCM is obtained by taking the highest power of all prime factors occurring in any of the numbers.
Solution:
 2³ × 9² × 13 
2² × 13² × 19 ​​
9³ × 13² × 19²  ​​
Take the highest power of each prime factor
LCM=23×93×132×192\text{LCM} = 2^3 \times 9^3 \times 13^2 \times 19^2​​

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