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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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
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