**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 = 2^{5} x 3 x 5

∴ 720 = 2 x 2 x 2 x 2 x 3 x 3 x 5 = 2^{4} x 3^{2} x 5

**Step 2:** For the HCF, we take all the common factors and their lowest factors

∴ HCF = 2^{4} 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 = 2^{5} x 3^{2} x 5 = 1440

**Therefore, the LCM of 480 and 720 is 1440.**

**Please do press “Heart” button if you liked the solution.**