Question

8 Find the LCM of the following.15 and 85​

Answer 1

Answer:

The least common multiple of 15 and 85 can be computed by using the greatest common factor aka gcf of 15 and 85. This is the easiest approach:

lcm (15,85) =  

= 255

Alternatively, the lcm of 15 and 85 can be found using the prime factorization of 15 and 85:

The prime factorization of 15 is: 3 x 5

The prime factorization of 85 is: 5 x 17

Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(15,15) = 255

Answer 2

Answer:

Alternatively, the lcm of 15 and 85 can be found using the prime factorization of 15 and 85: The prime factorization of 15 is: 3 x 5. The prime factorization of 85 is: 5 x 17. Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(15,15) = 255.

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