Question

find the LCM and HCF of 84 , 90 ,120 by factorisation method prove that the product of number is not equal to the product of HCF and LCM​

Answer 1

Answer:

HCF=84×90/120

HCF =63

Answer 2

Step-by-step explanation:

2520 and 6 are the LCM and HCF” of the given numbers 84, 90, 120 respectively

84=2

2

×3×7,90=2×3

2

×5 and 120=2

3

×3×5

Prime factors

2 1

3 1

5 0

7 0

∴HCF=2

least component

1

×3

1

=6

Common prime factors Greatest exponent

2 3

3 2

5 1

7 1

∴LCM=2

3

×3

2

×5

1

×7

1

=8×9×5×7

=2520.