Q.

Find the LCM of 46, 72, and 84 by prime factor method.


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a

11592

b

11692

c

11792

d

11892 

answer is A.

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Detailed Solution

Concept- The prime factors of 46, 72, and 84. The highest powers of each prime factor should be multiplied. The LCM is the end result of this process.
Three numbers 46, 72, and 84 are presented to us. They want us to calculate their LCM. Least Common Multiple is a term. The prime factor method is the one that should be applied. Each of the numbers provided must be prime-factorized in order to use this procedure. After that, we multiply each prime factor by its maximum power. Take 46, 72, and 84's prime factorizations as an example.
Question ImageWe shall express the provided numbers as products of their prime factors using the calculations mentioned above.
Question Image2, 3, 7, and 23 are the prime factors.
Highest power of 2,3,7,23

Question Image     Hence, the correct option is 1.
 
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Find the LCM of 46, 72, and 84 by prime factor method.