Question

if H.C.F (a, b) is 12 and product of ab is 1800, then L.C.M (a,b) is​

Answer 1

Given, H.C.F(a,b) = 12

Product of a and b = 1800

We know,

==> a × b = H.C.F(a,b) × L.C.M(a,b)

==> 1800 = 12 × L.C.M(a,b)

==> L.C.M(a,b) = 1800/12

==> L.C.M(a,b) = 150

Hence, L.C.M of a and b is 150.

Answer 2

✪ $\huge{\underline{\overline{\mathbf{Question}}}}$ ✪

→if H.C.F (a,b) is 12 and product of ab is 1800, then L.C.M (a,b) is

✪ $\huge{\underline{\overline{\mathbf{Answer}}}}$ ✪

⇒Given:

• Product of a,b = 1800
• H.C.F of a,b = 12

⇒To Find:

• L.C.M of a,b = ?

Let L.C.M be x :-

⇒$\Large{1800 = 12 \times x}$

⇒$\Large{x=\frac{1800}{12}}$

⇒$\huge{\pink{\overbrace{\underbrace{L.C.M=150}}}}$

_______________________________________

Formulas Used :-

• $\text{Product of Numbers = L.C.M \times H.C.F}$

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