Question

For each of the following pairs of numbers, verify that product of numbers is
equal to the product of their HCF and LCM.

(a) 10, 15
(b) 35, 40
(c) 32, 48

please give answer fast and important thing give answer in proper explaination ​

Answer 1

Answer:

(a)Factors of 10=2x5

Factors of 15=3x5

HCF=5

LCM=2x3x5=30

Verification, Product of numbers = Product of their

HCF and LCM

=10x15=30x5

150 = 150

(b) Factors of 35=5x7

Factors of 40=2x2x2x5

HCF=5

LCM=2x2x2x5x7

=280

Verification, Product of numbers = Product of their

HCF and LCM

=35x40=5x270

=1400=1400

(c)Factors of 32=2x2x2x2x2

Factors of 48=2x2x2x2x3

HCF=2x2x2x2=16

LCM=2x2x2x2x2x3=96

Verification, Product of numbers = Product of their

HCF and LCM

=32x48=16x96

=1536=1536