Question

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

Answer 1

396 =2*2*3*3*11

1080= 2*2*2*3*3*3*5

hcf =2*2*3*3=36

lcm =2*2*3*3*11*2*3*3*5(multiply and write. the product here)

Answer 2

Answer:

The HCF is 36 and LCM is 11880

Step-by-step explanation:

Given : 396 and 1080

Solution:

HCF ( Highest Common Factor) 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

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

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

So, HCF = $2 \times 2 \times 3 \times 3 = 36$

Hence HCF of 96 and 1080 is 36

Lowest Common Factor (LCM) of 396 and 1080

2    | 396 , 1080

2    |  198 , 540

3    |   99 , 270

3    |    33 , 90

3    |     11 , 30

2    |     11, 10

5    |    11, 5

11    |    11,1

      |    1,1

So, LCM of 396,1080 is $2 \times 2 \times 3 \times 3 \times 3 \times 2 \times 5 \times 11 =11880$

Hence the HCF is 36 and LCM is 11880