Question

If the ratio of the two numbers is m : n and H.C.F is 5, what is L.C.M?​

Answer 1

Answer:

Product of Two Numbers X*Y = HCF * LCM. You see there are 4 variables Viz. X, Y, HCF and LCM. When HCF and LCM is given, we have 2 variables (X and Y) and only one equation i. e. X * Y = HCF * LCM.

Answer 2

We have,

• Ratio of two numbers = m : n
• HCF of these numbers = 5

We know,

$\small \orange{ \rm{}HCF \times LCM }{ = \rm {1}^{st} \: Number \times {2}^{nd} \: Number}$

A.T.Q. :

$\implies \sf{}m \times n = 5 \times LCM \\ \\ \huge \tt{}LCM = \red{\frac{mn}{5} }$