Question

the ratio of two numbers is 3:4 and their h.c.f is 4 their l.c.m​

Answer 1

The answer is 48.

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To solve : In a ratio way?

Solution :

Let the number $3a$ and $4a$ and $a$ is natural.

H.C.F of $3a$ and $4a$ is always $a$. ...... 1

H.C.F × L.C.M = $3a\times 4a$ ...... 2

Given :

H.C.F is 4 ...... 3

We can observe from 1 and 3, therefore $a=4$.

If we use 2 and 3, we can lead : L.C.M is $3a^2$ ...... 4

Therefore, L.C.M is 48.

Answer 2

Answer:

48

Step-by-step explanation:

x*y = LCM*HCF

3a*4a = LCM*4

LCM = 12$a^{2}$ / 4 = 3$a^{2}$

=> 3a*4a = 3$a^{2}$

=> 12a = 3$a^{2}$

=> a = 4

=> 3$a^{2}$

=> 3($4^{2}$)

=> 3*16

=> 48