Mathematics
Grade5
Easy

Question

Find the LCM for the fractions 1 half and 1 third .
 

  1. 2
  2. 3
  3. 4
  4. 6

hintHint:

In this we have to calculate the LCM of fraction which can be calculated by calculating the Least Common Denominator of the fractions 1 half and 1 third.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  1 half and 1 third
    And we have to find the LCM of denominators of the fractions i.e.2 and 3

    Step2:
    We know that Multiples of 2 are:2 comma space 4 comma space 6 comma space 8 comma space 10 comma space 12 comma space 14 space horizontal ellipsis
    And the multiples of 3 are:3 comma space 6 comma space 9 comma space 12 comma space 15 comma space 18 comma space 21 space horizontal ellipsis
    Step3:
    Now we have to find the LCM of 2 and 3
    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 2 and 3 is 6.
    Hence the LCM of the Fraction 1 half and 1 third is 6.

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