The lcm and hcf of two numbers are 2970

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18. The lcm and hcf of two numbers are 2970 and 30 respectively. Prime factors of the product of two numbers are: a. 2, 3, 5, 11 b. 2, 3, 7, 11 c. 2, 4, 5, 11 d. 2, 3, 7, 13

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As given ,

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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