Least Common Multiple of 87/379, 838/674, 355/641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 87/379, 838/674, 355/641 quickly i.e. 25881630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/379, 838/674, 355/641 is 25881630.

LCM(87/379, 838/674, 355/641) = 25881630

LCM of 87/379, 838/674, 355/641

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 87/379,838/674,355/641

Given numbers are 87/379,838/674,355/641

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 87,838,355

Least Common Multiple of Numerators i.e. LCM of 87,838,355 is 25881630.

GCF of Denominators means GCF of 379,674,641 as per the given fractions.

GCF of 379,674,641 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,838,355

LCM of Fractions 87/379,838/674,355/641 is 25881630

Given numbers has no common factors except 1. So, there LCM is their product i.e 25881630

Least Common Multiple of 87,838,355 with GCF Formula

Least Common Multiple of 87,838,355 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 87,838,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,838,355) = 1

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

GCF(87,838,355) x common factors =1 x 1 = 1

LCM(87,838,355) = ( 87 × 838 × 355 ) / 1

LCM(87,838,355) = 25881630 / 1

LCM(87,838,355) = 25881630


Lets's calculate GCF of 379,674,641

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25881630/1

Therefore the LCM of Fractions 87/379,838/674,355/641 is 25881630

Greatest Common Factor of 379,674,641 By Matching Biggest Common Factor Method

Greatest Common Factor of 379,674,641 By Matching Biggest Common Factor Method

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Factors of 641

List of positive integer factors of 641 that divides 641 without a remainder.

1,641

Greatest Common Factor

We found the factors 379,674,641 . The biggest common factor number is the GCF number.
So the greatest common factor 379,674,641 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 87/379, 838/674, 355/641

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 87/379, 838/674, 355/641?

Answer: LCM of Numerators as per given numbers 87/379, 838/674, 355/641 is

LCM of Numerators i.e. for 87,838,355 is 25881630

GCF of denominators i.e. for 379,674,641 is 1.

Thus, LCM of Fractions is 25881630.Finally, LCM of Fractions for 87/379, 838/674, 355/641 is 25881630.