Question

What is least perfect square,which is divided by24,30 and 60?

Answer 1

Step 1 : Find the common factors of the given numbers

24 = 2 × 2 × 3 × 2

30 = 3 × 2 × 5

60 = 3 × 5 × 2 × 2


Step 2 : Find their LCM

LCM = 2 × 2 × 2 × 3 × 5

➾ 120



∴ The least number which when divided by 24, 30 and 60 gives a perfect square is $\blue{\boxed{\blue{\boxed{\green{\textsf{120}}}}}}$



Check :-

LCM × Common factors

➾ 120 × 2 × 3 × 5

➾ 3600

√3600 = 60✔✔