Least Common Multiple of 23/391, 431/842, 871/359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 23/391, 431/842, 871/359 quickly i.e. 8634223 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/391, 431/842, 871/359 is 8634223.

LCM(23/391, 431/842, 871/359) = 8634223

LCM of 23/391, 431/842, 871/359

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 23/391,431/842,871/359

Given numbers are 23/391,431/842,871/359

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 23,431,871

Least Common Multiple of Numerators i.e. LCM of 23,431,871 is 8634223.

GCF of Denominators means GCF of 391,842,359 as per the given fractions.

GCF of 391,842,359 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,431,871

LCM of Fractions 23/391,431/842,871/359 is 8634223

Given numbers has no common factors except 1. So, there LCM is their product i.e 8634223

Least Common Multiple of 23,431,871 with GCF Formula

Least Common Multiple of 23,431,871 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 23,431,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,431,871) = 1

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

GCF(23,431,871) x common factors =1 x 1 = 1

LCM(23,431,871) = ( 23 × 431 × 871 ) / 1

LCM(23,431,871) = 8634223 / 1

LCM(23,431,871) = 8634223


Lets's calculate GCF of 391,842,359

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8634223/1

Therefore the LCM of Fractions 23/391,431/842,871/359 is 8634223

Greatest Common Factor of 391,842,359 By Matching Biggest Common Factor Method

Greatest Common Factor of 391,842,359 By Matching Biggest Common Factor Method

Factors of 391

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

1,17,23,391

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Greatest Common Factor

We found the factors 391,842,359 . The biggest common factor number is the GCF number.
So the greatest common factor 391,842,359 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 23/391, 431/842, 871/359

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 23/391, 431/842, 871/359?

Answer: LCM of Numerators as per given numbers 23/391, 431/842, 871/359 is

LCM of Numerators i.e. for 23,431,871 is 8634223

GCF of denominators i.e. for 391,842,359 is 1.

Thus, LCM of Fractions is 8634223.Finally, LCM of Fractions for 23/391, 431/842, 871/359 is 8634223.