Question

The product of two numbers is 228 and their HCF is 12. Find their LCM

Answer 1

Given :–

• Product of two numbers = 228.
• Highest common factor (H.C.F.) = 12.

To Find :–

• Least common multiple (L.C.M.)

Solution :–

We know that,

L.C.M. × H.C.F. = Product of two numbers.

For finding the L.C.M.,

L.C.M. = $\dfrac{Product \: of \: two \: numbers}{H.C.F.}$

Now, put the given value in the formula of L.C.M.,

• Product of two numbers = 228.
• H.C.F. = 12

L.C.M. = $\dfrac{\cancel{228}}{\cancel{12}}$

Cancel the denominator and the numerator by 2, we obtain

⟹ $\dfrac{\cancel{114}}{\cancel{6}}$

Cancel the denominator and the numerator by 2, we obtain

⟹ $\dfrac{\cancel{57}}{\cancel{3}}$

Cancel the denominator and the numerator by 3, we obtain

⟹ 19

Hence,

The least common multiple (L.C.M.) is 19.

Answer 2

⭐ What is Given ?

• The product of two numbers is 228 and their HCF is 12.

⭐ What we need to Find ?

• L.C.M. of the numbers.

✔ Solution ✔

We know that,

L.C.M. = Product Of Numbers/H.C.F.

➠ L.C.M. = 228/12.

➠ L.C.M. = 19.

Hence, The L.C.M. is 19.

ADDITIONAL INFORMATION ➠

• L.C.M is the least common multiple.

• H.C.F. is the highest common factor.

• H.C.F. = Product Of Numbers/L.C.M.