Question

If the ratio of two numbers is 3:4 and their
H.C.F. is 4, what is the L.C.M. of the two
numbers ?​

Answer 1

Answer:

let the common variable be 'x' .. then the numbers will be 3x and 4x respectively. HCF is the common factor so 'x' is it's HCF . Therefore no's are 12 and 16 . This LCM 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