Question

The ratio of two numbers is 4:3 and their hcf is 8.find their lcm.

Answer 1

Answer:

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Step-by-step explanation:

ANSWER :

Let 4x, 3x be the numbers

Then HCF = x

So x = 8

So

LCM = 12x = 12×8 =96

Answer 2

Answer:

Required LCM of the two numbers is 96.

Step-by-step explanation:

Given,ratio of two numbers is 4:3

Let first number be 4x and second number be 3x.

Now given HCF of these two numbers is 8.

HCF means Highest Common Factor.

Here HCF of 4x and 2x is x because x is highest common factor of 4x and 2x.

Therefore HCF $x = 8$

So, first number is (4×8)=32 and second number is (3×8)=24.

Now we know value of two numbers and their HCF.

and we want to find LCM.

We know,

LCM×HCF=Product of two numbers

Therefore,LCM=$\frac{Product \: of \: two \: numbers}{HCF}$

So,LCM$= \frac{32 \times 24}{8} = 4 \times 24 = 96$

Required LCM of the two numbers is 96.