Least Common Multiple of 1089/772, 9342/2873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1089/772, 9342/2873 quickly i.e. 1130382 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1089/772, 9342/2873 is 1130382.

LCM(1089/772, 9342/2873) = 1130382

LCM of 1089/772, 9342/2873

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 1089/772,9342/2873

Given numbers are 1089/772,9342/2873

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 1089,9342

Least Common Multiple of Numerators i.e. LCM of 1089,9342 is 1130382.

GCF of Denominators means GCF of 772,2873 as per the given fractions.

GCF of 772,2873 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1089,9342

LCM of Fractions 1089/772,9342/2873 is 1130382

3 1089, 9342
3 363, 3114
121, 1038

∴ So the LCM of the given numbers is 3 x 3 x 121 x 1038 = 1130382

Least Common Multiple of 1089,9342 with GCF Formula

Least Common Multiple of 1089,9342 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 1089,9342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1089,9342) = 9

common factors(in case of two or more numbers have common factors) = 1

GCF(1089,9342) x common factors =9 x 1 = 9

LCM(1089,9342) = ( 1089 × 9342 ) / 9

LCM(1089,9342) = 10173438 / 9

LCM(1089,9342) = 1130382


Lets's calculate GCF of 772,2873

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1130382/1

Therefore the LCM of Fractions 1089/772,9342/2873 is 1130382

Greatest Common Factor of 772,2873 By Matching Biggest Common Factor Method

Greatest Common Factor of 772,2873 By Matching Biggest Common Factor Method

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 2873

List of positive integer factors of 2873 that divides 2873 without a remainder.

1,13,17,169,221,2873

Greatest Common Factor

We found the factors 772,2873 . The biggest common factor number is the GCF number.
So the greatest common factor 772,2873 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 1089/772, 9342/2873

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 1089/772, 9342/2873?

Answer: LCM of Numerators as per given numbers 1089/772, 9342/2873 is

LCM of Numerators i.e. for 1089,9342 is 1130382

GCF of denominators i.e. for 772,2873 is 1.

Thus, LCM of Fractions is 1130382.Finally, LCM of Fractions for 1089/772, 9342/2873 is 1130382.