Least Common Multiple of 49/36, 23/42, 28/70, 87/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/36, 23/42, 28/70, 87/132 quickly i.e. 196098 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/36, 23/42, 28/70, 87/132 is 196098.

LCM(49/36, 23/42, 28/70, 87/132) = 196098

LCM of 49/36, 23/42, 28/70, 87/132

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 49/36,23/42,28/70,87/132

Given numbers are 49/36,23/42,28/70,87/132

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 49,23,28,87

Least Common Multiple of Numerators i.e. LCM of 49,23,28,87 is 392196.

GCF of Denominators means GCF of 36,42,70,132 as per the given fractions.

GCF of 36,42,70,132 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,23,28,87

LCM of Fractions 49/36,23/42,28/70,87/132 is 196098

7 49, 23, 28, 87
7, 23, 4, 87

∴ So the LCM of the given numbers is 7 x 7 x 23 x 4 x 87 = 392196

Least Common Multiple of 49,23,28,87 with GCF Formula

Least Common Multiple of 49,23,28,87 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 49,23,28,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,23,28,87) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(49,23,28,87) x common factors =1 x 7 = 7

LCM(49,23,28,87) = ( 49 × 23 × 28 × 87 ) / 7

LCM(49,23,28,87) = 2745372 / 7

LCM(49,23,28,87) = 392196


Lets's calculate GCF of 36,42,70,132

2 36, 42, 70, 132
18, 21, 35, 66

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 392196/2

Therefore the LCM of Fractions 49/36,23/42,28/70,87/132 is 196098

Greatest Common Factor of 36,42,70,132 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,42,70,132 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Greatest Common Factor

We found the factors 36,42,70,132 . The biggest common factor number is the GCF number.
So the greatest common factor 36,42,70,132 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 49/36, 23/42, 28/70, 87/132

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 49/36, 23/42, 28/70, 87/132?

Answer: LCM of Numerators as per given numbers 49/36, 23/42, 28/70, 87/132 is

LCM of Numerators i.e. for 49,23,28,87 is 392196

GCF of denominators i.e. for 36,42,70,132 is 2.

Thus, LCM of Fractions is 196098.Finally, LCM of Fractions for 49/36, 23/42, 28/70, 87/132 is 196098.