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
explainto me

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Answer 1

Answer:

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Answer 2

Answer:

Step-by-step explanation:

(a) 10,15

prime factors are{

10=2*5

15=3*5

So HCF=5

LCM=2*3*5=30

HCF*LCM=30*5=150

and the  product of Numbers=10*15=150 Proved

(b) 35,40

prime factors are:

35=5*7

40=2*2*2*5

So HCF=5

LCM=2*2*2*5*7=8*35=280

HCF*LCM=280*5=1400

and the  product of Numbers= 35*40=1400 Proved

**********************************

(c)32,48

The prime factors are:

32=2^5

48=2^4*3

So HCF=2^4=16

LCM=2^5*3=32*3=96

HCF*LCM=16*96=1536

and the  product of Numbers 32*48=1536 Proved