Lcm and hcf of two numbers are 2970 and 30

By Rebecca
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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

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