Least Common Multiple of 9746/917, 7183/391

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9746/917, 7183/391 quickly i.e. 6364138 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9746/917, 7183/391 is 6364138.

LCM(9746/917, 7183/391) = 6364138

LCM of 9746/917, 7183/391

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 9746/917,7183/391

Given numbers are 9746/917,7183/391

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 9746,7183

Least Common Multiple of Numerators i.e. LCM of 9746,7183 is 6364138.

GCF of Denominators means GCF of 917,391 as per the given fractions.

GCF of 917,391 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9746,7183

LCM of Fractions 9746/917,7183/391 is 6364138

11 9746, 7183
886, 653

∴ So the LCM of the given numbers is 11 x 886 x 653 = 6364138

Least Common Multiple of 9746,7183 with GCF Formula

Least Common Multiple of 9746,7183 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 9746,7183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9746,7183) = 11

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

GCF(9746,7183) x common factors =11 x 1 = 11

LCM(9746,7183) = ( 9746 × 7183 ) / 11

LCM(9746,7183) = 70005518 / 11

LCM(9746,7183) = 6364138


Lets's calculate GCF of 917,391

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6364138/1

Therefore the LCM of Fractions 9746/917,7183/391 is 6364138

Greatest Common Factor of 917,391 By Matching Biggest Common Factor Method

Greatest Common Factor of 917,391 By Matching Biggest Common Factor Method

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Factors of 391

List of positive integer factors of 391 that divides 391 without a remainder.

1,17,23,391

Greatest Common Factor

We found the factors 917,391 . The biggest common factor number is the GCF number.
So the greatest common factor 917,391 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9746/917, 7183/391

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 9746/917, 7183/391?

Answer: LCM of Numerators as per given numbers 9746/917, 7183/391 is

LCM of Numerators i.e. for 9746,7183 is 6364138

GCF of denominators i.e. for 917,391 is 1.

Thus, LCM of Fractions is 6364138.Finally, LCM of Fractions for 9746/917, 7183/391 is 6364138.