Question

2] Find the LCM and HCF of the following pairs LCM X HCF verify that que of integers and product of two numbers (i) 144 and 90 (i) 72 and 152​

Answer 1

Answer.( i )

By prime factorization of numbers 90 and 144.

So 90=2×3×3×5=2×3

2

×5

and 144=2×2×2×2×3×3=2

4

×3

2

For H.C.F. we find minimum power of common prime factor

H.C.F =2×3

2

=2×9=18

For L.C.M we find highest power of common prime factor

So L.C.M =2

4

×3

2

×5=16×9×5=720

Verification :

Product of both integer number =90×144=12960

HCF × LCM =18×720=12960

So HCF × LCM = product of both integers numbers

Uh have to copy LCM over here as it is attached in above attachment!!

hope this was helpful for uh...

thank uh...

Answer 2

Answer:

i) Numbers- 144, 90

  HCF- 18

  LCM- 720

product of two number = LCM × HCF

144×90 is 12960 = 18×720 is 12960