1.

Find LCM and HCF of 26 and 91 and 510 by prime factorization method​

Answer»

Answer:

LCM = 46,410

Step-by-step explanation:

Solution by Prime Factorization

List all prime factors for each number.

Prime Factorization of 26 is:

2 x 13  =>  21 x 131

Prime Factorization of 91 is:

7 x 13  =>  71 x 131

Prime Factorization of 510 is:

2 x 3 x 5 x 17  =>  21 x 31 x 51 x 171

For each prime factor, find where it occurs most often as a factor and write it that many times in a NEW list.

The new superset list is

2, 3, 5, 7, 13, 17

Multiply these factors together to find the LCM.

LCM = 2 x 3 x 5 x 7 x 13 x 17 = 46410

In exponential form:

LCM = 21 x 31 x 51 x 71 x 131 x 171 = 46410

LCM = 46410

Therefore,

LCM(26, 91, 510) = 46,410


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