Q) Find the H.C.F and L.C.M of 480 and 720 using the Prime factorisation method.

Ans:

VIDEO SOLUTION

STEP BY STEP SOLUTION

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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