LCM and HCF of two numbers are 2970 and 30 find the prime factors of their product

**Answer: **

H.C.F= 2970

L.C.M=30

As we know, H.C.F × L.C.M=Product of two numbers

→Product of two numbers = 2970 × 30

2970=2×3×3×3×5×11

30=2×3×5

Combining them, **2970×30=[2×3×3×3×5×11]×[2×3×5]**

So, prime factors of the product of two numbers are:** a. 2, 3, 5, 11**