Question
Find the LCM for the fractions and .
- 2
- 3
- 4
- 6
Hint:
In this we have to calculate the LCM of fraction which can be calculated by calculating the Least Common Denominator of the fractions and .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: 6
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 2 are:
And the multiples of 3 are:
Step3:
Now we have to find the LCM of and
From the above multiples of 2 and 3 it can be easily seen that the least common multiple of is 6
Hence the LCD of the and is 6.
Hence the LCM of the Fraction and is 6.
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We can also it by simple division. As, Division in maths is the process of breaking a number up into equal parts, and finding out how many equal parts can be made.
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