Question

= 2 X 1383
Find the LCM and HCF of the following using prime
factorization method
455 and 78​

Answer 1

Step-by-step explanation:

455 = 5 × 13 × 7

78 = 2 × 3 × 13

HCF = 13

LCM = 2730

Answer 2

Step-by-step explanation:

Solution by Prime Factorization

List all prime factors for each number.

Prime Factorization of 78 is:

2 x 3 x 13  =>  2 x 3 x 13

Prime Factorization of 455 is:

5 x 7 x 13  =>  5 x 7x 13

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 list is

2, 3, 5, 7, 13

Multiply these factors together to find the LCM.

LCM = 2 x 3 x 5 x 7 x 13 = 2730

In exponential form:

LCM = 2 x 3 x 5 x 7 x 13 = 2730

LCM = 2730

Therefore,

LCM(78, 455) = 2730

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HCF Solution by Factorization:

The factors of 78 are: 1, 2, 3, 6, 13, 26, 39, 78

The factors of 455 are: 1, 5, 7, 13, 35, 65, 91, 455

Then the greatest common factor is 13.

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