Least Common Multiple of 5373/746, 1089/969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5373/746, 1089/969 quickly i.e. 650133 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5373/746, 1089/969 is 650133.

LCM(5373/746, 1089/969) = 650133

LCM of 5373/746, 1089/969

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 5373/746,1089/969

Given numbers are 5373/746,1089/969

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 5373,1089

Least Common Multiple of Numerators i.e. LCM of 5373,1089 is 650133.

GCF of Denominators means GCF of 746,969 as per the given fractions.

GCF of 746,969 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5373,1089

LCM of Fractions 5373/746,1089/969 is 650133

3 5373, 1089
3 1791, 363
597, 121

∴ So the LCM of the given numbers is 3 x 3 x 597 x 121 = 650133

Least Common Multiple of 5373,1089 with GCF Formula

Least Common Multiple of 5373,1089 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 5373,1089 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5373,1089) = 9

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

GCF(5373,1089) x common factors =9 x 1 = 9

LCM(5373,1089) = ( 5373 × 1089 ) / 9

LCM(5373,1089) = 5851197 / 9

LCM(5373,1089) = 650133


Lets's calculate GCF of 746,969

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 650133/1

Therefore the LCM of Fractions 5373/746,1089/969 is 650133

Greatest Common Factor of 746,969 By Matching Biggest Common Factor Method

Greatest Common Factor of 746,969 By Matching Biggest Common Factor Method

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Greatest Common Factor

We found the factors 746,969 . The biggest common factor number is the GCF number.
So the greatest common factor 746,969 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 5373/746, 1089/969

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 5373/746, 1089/969?

Answer: LCM of Numerators as per given numbers 5373/746, 1089/969 is

LCM of Numerators i.e. for 5373,1089 is 650133

GCF of denominators i.e. for 746,969 is 1.

Thus, LCM of Fractions is 650133.Finally, LCM of Fractions for 5373/746, 1089/969 is 650133.