the LCM of two numbers is 48 and their hcf is 8 . if one number is 16,then the other number is.___________
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0
Answer:
There is a simple empirical formula connecting both LCM and HCF with the numbers.
The formula is LCM (a,b) x HCF (a, b) = a × b
The product of LCM and HCF is equal to the product of the given numbers.
Here,
LCM
=
48
HCF
=
8
a
=
16
b
=
?
We need to find the other number.
Let us substitute the known values in the above-mentioned formula.
LCM
×
HCF
=
a
×
b
48
×
8
=
16
×
b
⟹
b
=
(
48
×
8
)
16
⟹
b
=
384
16
∴
b
=
24
So, the other number, denoted by b, is 24.
Thus, If the lcm of two numbers is 48 and their HCF is 8 and one number is 16, then the other number is 24.
Step-by-step explanation:
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Answered by
0
Step-by-step explanation:
there is a formula that lcm×hcf=a×b
48×8=16×x
384=16×x
384/16=x
x=24
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