Question

Find the H.C.F and L.C.M of 17 23 and 29 using the prime factorisation method.​

Answer 1

Answer:

Consider the two number 8 and 12 and let us write the multiples of two numbers.

Multiples of 8 = 16, 24, 32, 40 ,48, 56……

Multiples of 12 = 24, 36, 48, 60, 72………

From the above list, we can observe that least common multiples of 8 and 12 is 24.

I.e LCM (8, 12) = 24

Let us find the HCF of 17,23,29

17 = 17 × 1

23 = 23 × 1

29 = 29 × 1

∴ HCF (17,23,29) = 1

Let us find the LCM of17,23,29

LCM(17,23,29) = 17 × 23 × 29

∴ LCM(17,23,29) = 11339

Let us verify LCM and HCF is equals to the product of three numbers

LCM × HCF =17 × 23 × 29

17 × 23 × 29 × 1 =17 × 23 × 29

11339 = 11339

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