Question

Find the hcf and lcm of 7,72, 120 by using prime factorisation method.

Answer 1

Step-by-step explanation:

7 = 7

72 = 2×2×2×3×3

120 = 2×2×2×3×5

Now we have to see which prime factor is common in all three factorisations.

In this 3 factorisations NO prime is common

So HCF is simply 1.

LCM - We have to see which is common in 3 cases, and 2 cases and multiply the no. which is not common

All 3 cases - No common

2 cases - 2,2,2,3 are common

Remaining - 7,3,5

So LCM = 2×2×2×3×7×3×5 = 2³×3²×7×5 = 2520

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