Aptitude - Problems on H.C.F and L.C.M - Discussion

L.C.M. OF 3 : 4 IS ............. 12
AND THE H.C.F IS GIVEN 4 IN THE QUESTION

NOW , REQUIRED NUMBER IS [12*4] = 48 ANSWER

IS THE WAY IS RIGHT OR NOT.........

hcf of any two numbers is a factor of those two numbers .. means example if u take hcf of 12 and 18 .. its 6 .. it means 6 is a factor of 12 and 18. 6*2=12 6*3=18
now if i say there are two numbers in ratio 2:3 whose hcf is 6 how will u write the two numbers ??
solve my question and u will understand it
ans: hcf*2 is one number hcf*3 is the other

Please tell me why use h.c.f value instead of x

hcf * lcm= pro. of no
4*lcm=3x*4x
lcm=3x*4x/4

reply according to this

Hey jayshree

Given hcf = 4
=3x=3x4=12
4x=4x4=16
multiply 3 with 16 and 4 with 12 answer is 48

got it!

Let the numbers be 3x and 4x. Then, their H.C.F. = x. So, x = 4.
i understand this step but i dont understand this step he numbers 12 and 16. please explain.