Question

find the hcf and lcm of 396 and 1080 using prime factorisation method

Answer 1

Answer:

The HCF and LCM of 396 and 1080 are 36 and 11880 respectively.

Step-by-step explanation:

Given: 396 and 1080

To Find : Find the hcf and lcm of 396 and 1080 using prime factorization method.

Solution:

HCF of 396 and 1080

2 | 396         2 |  1080

2 | 198          2 |  540

3 |  99           2 |  270

3 | 33            3  |  135

11 | 11             3  |  45

   | 1              3  |  15

                    5  |  5

                        |   1

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

$1080=2 \times 2\times 2 \times 3 \times 3 \times 3 \times 5$

$HCF = 2 \times 2 \times 3 \times 3$

$HCF = 36$

LCM of 396 and 1080

2 | 396 , 1080

2 | 198  , 540

3 |  99   , 270

3 |  33 , 90

3 | 11, 30

2 | 11 , 10

11 | 11,5

5 | 1,5

  | 1 , 1

$LCM = 2 \times 2\times 3 \times 3 \times 3 \times 2 \times 11 \times 5$

$LCM = 11880$

Hence the HCF and LCM of 396 and 1080 are 36 and 11880 respectively.

Answer 2

Answer:

♠️396 = 22 × 32 × 11

➡️ 1080 = 23 × 33 × 5

➡️ HCF = 22 × 32 = 36

➡️LCM = 23 × 33 × 5 × 11 = 11880.