The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is:
A.12
B.16
C.24
D.48
Answers
Answered by
5
Since the numbers are in the ratio 3:4 then let the numbers be 3x and 4x.
Thus the H.C.F. of the two numbers = x.
But the H.C.F is given as 4.
So, x = 4.
So, the numbers are,
3x = 3 x 4 =12
And
4x = 4 x 4 = 16
We know,
H.C.F x L.C.M = Product of the two numbers
4 x L.C.M = 12 x 16
L.C.M = 48
Thus, the L.C.M of 12 and 16 is 48.
Thus the H.C.F. of the two numbers = x.
But the H.C.F is given as 4.
So, x = 4.
So, the numbers are,
3x = 3 x 4 =12
And
4x = 4 x 4 = 16
We know,
H.C.F x L.C.M = Product of the two numbers
4 x L.C.M = 12 x 16
L.C.M = 48
Thus, the L.C.M of 12 and 16 is 48.
Answered by
1
two no.are 3×4 = 12 and 4×4 = 16 ....
then two no. l c m is 12 = 3×4 , 16 = 4×4
there fore l c m is 48.
Note .if u multiple ratio of two no. and h c f , then u find two numbers actual value.
then two no. l c m is 12 = 3×4 , 16 = 4×4
there fore l c m is 48.
Note .if u multiple ratio of two no. and h c f , then u find two numbers actual value.
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