Least Common Multiple of 721/449, 731/379, 337/907

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 721/449, 731/379, 337/907 quickly i.e. 177616187 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 721/449, 731/379, 337/907 is 177616187.

LCM(721/449, 731/379, 337/907) = 177616187

LCM of 721/449, 731/379, 337/907

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 721/449,731/379,337/907

Given numbers are 721/449,731/379,337/907

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 721,731,337

Least Common Multiple of Numerators i.e. LCM of 721,731,337 is 177616187.

GCF of Denominators means GCF of 449,379,907 as per the given fractions.

GCF of 449,379,907 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 721,731,337

LCM of Fractions 721/449,731/379,337/907 is 177616187

Given numbers has no common factors except 1. So, there LCM is their product i.e 177616187

Least Common Multiple of 721,731,337 with GCF Formula

Least Common Multiple of 721,731,337 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 721,731,337 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(721,731,337) = 1

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

GCF(721,731,337) x common factors =1 x 1 = 1

LCM(721,731,337) = ( 721 × 731 × 337 ) / 1

LCM(721,731,337) = 177616187 / 1

LCM(721,731,337) = 177616187


Lets's calculate GCF of 449,379,907

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 177616187/1

Therefore the LCM of Fractions 721/449,731/379,337/907 is 177616187

Greatest Common Factor of 449,379,907 By Matching Biggest Common Factor Method

Greatest Common Factor of 449,379,907 By Matching Biggest Common Factor Method

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Factors of 379

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

1,379

Factors of 907

List of positive integer factors of 907 that divides 907 without a remainder.

1,907

Greatest Common Factor

We found the factors 449,379,907 . The biggest common factor number is the GCF number.
So the greatest common factor 449,379,907 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 721/449, 731/379, 337/907

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 721/449, 731/379, 337/907?

Answer: LCM of Numerators as per given numbers 721/449, 731/379, 337/907 is

LCM of Numerators i.e. for 721,731,337 is 177616187

GCF of denominators i.e. for 449,379,907 is 1.

Thus, LCM of Fractions is 177616187.Finally, LCM of Fractions for 721/449, 731/379, 337/907 is 177616187.