Question

7. Using prime factorisation method, find the HCF of 8624 and 21658
Hence, find the LCM of 8624 and 21658.​

Answer 1

HCF:98

LCM:1905904

Hope this answer help you

Answer 2

HCF of 8624 and 21658 is 98

LCM of 8624 and 21658 is 1905904

Solution:

HCF of 8624 and 21658

The factors of 8624 are: 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 49, 56, 77, 88, 98, 112, 154, 176, 196, 308, 392, 539, 616, 784, 1078, 1232, 2156, 4312, 8624

The factors of 21658 are: 1, 2, 7, 13, 14, 17, 26, 34, 49, 91, 98, 119, 182, 221, 238, 442, 637, 833, 1274, 1547, 1666, 3094, 10829, 21658

Then the greatest common factor is 98

LCM of 8624 and 21658

List all prime factors for each number.

Prime Factorization of 8624 is:  2 x 2 x 2 x 2 x 7 x 7 x 11

Prime Factorization of 21658 is:  2 x 7 x 7 x 13 x 17

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

2, 2, 2, 2, 7, 7, 11, 13, 17

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 2 x 2 x 7 x 7 x 11 x 13 x 17 = 1905904

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