Q2 of 57 Page 25

Find the HCF and LCM of the following pairs of integers and verify that HCF × LCM = Product of integers.

90 and 144


The numbers are expressed as follows:

336 = 2 × 5 × 3 × 3


144 = 2 × 2 × 2 × 2 × 3 × 3


So for finding the HCF we may write as follows:



So HCF = 2 × 32


= 18


For finding the LCM we may write as follows:



So LCM = 24 × 32 × 5


= 720


So Product of HCM × LCM = 720 × 18


= 12960


So product of numbers = 90 × 144


= 12960


More from this chapter

All 57 →
2

Find the HCF and LCM of the following pairs of integers and verify that HCF × LCM = Product of integers.

96 and 404


 2

Find the HCF and LCM of the following pairs of integers and verify that HCF × LCM = Product of integers.

336 and 54


 3

Find the HCF and LCM of the following integers by applying the prime factorization method.

12, 15 and 21


 3

Find the HCF and LCM of the following integers by applying the prime factorization method.

24, 15 and 36