Least Common Multiple of 84/96, 98/20, 22/75, 73/109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/96, 98/20, 22/75, 73/109 quickly i.e. 472164 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/96, 98/20, 22/75, 73/109 is 472164.

LCM(84/96, 98/20, 22/75, 73/109) = 472164

LCM of 84/96, 98/20, 22/75, 73/109

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 84/96,98/20,22/75,73/109

Given numbers are 84/96,98/20,22/75,73/109

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 84,98,22,73

Least Common Multiple of Numerators i.e. LCM of 84,98,22,73 is 472164.

GCF of Denominators means GCF of 96,20,75,109 as per the given fractions.

GCF of 96,20,75,109 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,98,22,73

LCM of Fractions 84/96,98/20,22/75,73/109 is 472164

2 84, 98, 22, 73
7 42, 49, 11, 73
6, 7, 11, 73

∴ So the LCM of the given numbers is 2 x 7 x 6 x 7 x 11 x 73 = 472164

Least Common Multiple of 84,98,22,73 with GCF Formula

Least Common Multiple of 84,98,22,73 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 84,98,22,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,98,22,73) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(84,98,22,73) x common factors =1 x 28 = 28

LCM(84,98,22,73) = ( 84 × 98 × 22 × 73 ) / 28

LCM(84,98,22,73) = 13220592 / 28

LCM(84,98,22,73) = 472164


Lets's calculate GCF of 96,20,75,109

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 472164/1

Therefore the LCM of Fractions 84/96,98/20,22/75,73/109 is 472164

Greatest Common Factor of 96,20,75,109 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,20,75,109 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Greatest Common Factor

We found the factors 96,20,75,109 . The biggest common factor number is the GCF number.
So the greatest common factor 96,20,75,109 is 1.


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 84/96, 98/20, 22/75, 73/109

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 84/96, 98/20, 22/75, 73/109?

Answer: LCM of Numerators as per given numbers 84/96, 98/20, 22/75, 73/109 is

LCM of Numerators i.e. for 84,98,22,73 is 472164

GCF of denominators i.e. for 96,20,75,109 is 1.

Thus, LCM of Fractions is 472164.Finally, LCM of Fractions for 84/96, 98/20, 22/75, 73/109 is 472164.