Question

find LCM and HCF of 321 and 396​

Answer 1

Answer:

42372

Step-by-step explanation:

321 = 3 * 107

396 = 2 * 2 * 3 * 3 * 11

HCF = 3

LCM = 3 * 107 * 2 * 2 * 3 * 11 = 42372

Answer 2

LCM of 321 and 396 is 42372

HCF of 321 and 396 is 3

Solution:

Find LCM of 321 and 396

Step 1:

List all prime factors for each number

$321 = 3 \times 107$

$396 = 2 \times 2 \times 3 \times 3 \times 11$

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, 2, 3, 3, 11, 107

Multiply these factors together to find the LCM

$LCM = 2 \times 2 \times 3 \times 3 \times 11 \times 107 = 42372$

Thus LCM of 321 and 396 is 42372

Find HCF of 321 and 396

The factors of 321 are: 1, 3, 107, 321

The factors of 396 are: 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Then the greatest common factor or HCF is 3

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