Question
Find the least common denominator of 
and 
?
- 24
- 7
- 42
- 28
Hint:
In this question we have to find the least common denominator and for that we have to find the least common multiple of denominators. Least Common Denominator (LCD) is the least common multiple of denominator of a set of fractions. The method of calculating the LCD is same as calculation of Least Common Multiple of fractions denominators. The least common multiple (LCM) of two numbers is the lowest possible number that can be divisible by both numbers.
The correct answer is: 28
The least common denominator is the lowest common multiple of the denominators of a set of fractions.
Step1:
We are given fractions and
And we have to find the LCM of denominators of the fractions i.e. 
and 
Step2:
We know that Multiples of 4 are:
And the multiples of 7 are:
Step3:
Now we have to find the LCM of 
and
From the above multiples of 4 and 7 it can be easily seen that the least common multiple of is 28
Hence the LCD of the and is 
.
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