Q) Find the H.C.F and L.C.M of 480 and 720 using the Prime factorisation method.
Ans:
Step 1: By prime factorisation, we solve 480 and 720 one by one:
∴ 480 = 2 x 2 x 2 x 2 x 2 x 3 x 5 = 25 x 3 x 5
∴ 720 = 2 x 2 x 2 x 2 x 3 x 3 x 5 = 24 x 32 x 5
Step 2: For the HCF, we take all the common factors and their lowest factors
∴ HCF = 24 x 3 x 5 = 240
Therefore the HCF of 480 and 720 is 240
Step 3: For the LCM, we take all the prime factors and their highest factors
∴ LCM = 25 x 32 x 5 = 1440
Therefore, the LCM of 480 and 720 is 1440.
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