Question

Find the HCF and LCM of 60 and 75 and prove that LCM X HCF =
Product of two numbers​

Answer 1

Step-by-step explanation:

Refer above attachment

Answer 2

Answer:

60= 2×2×3×5

= 2 power 2 ×3×5

75= 3×5×5

= 3×5power 2

Therefore,

LCM= 2×2×3×5×5

=4×25×3

=300

Therefore,

HCF= 3×5

=15

Since,

LCM×HCF = Product of two numbers

300×15= 4500

Therefore,

60×75 = 4500

.

. . LCM × HCF =Product of two numbers and hence proved.