Question

Find the HCF and LCM of the following pairs and verify that HCF into LCM = product of two numbers
i) 60 and 75
ii) 144 and 180
iii) 96 and 108.​

Answer 1

Step-by-step explanation:

1. LCM of 60 and 75=300 and HCF=15

product of numbers=4500

LCM×HCF=4500

4500=4500

hence verified

2. LCM of 144 and 180=720 and HCF=36

product of numbers=25920

LCM×HCF=25920

25920=25920

hence verified

3. LCM of 96 and 108=864 and HCF=12

product of numbers=10368

LCM×HCF=10368

10368=10368

hence verified