Least Common Multiple of 449/938, 1080/878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 449/938, 1080/878 quickly i.e. 242460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 449/938, 1080/878 is 242460.

LCM(449/938, 1080/878) = 242460

LCM of 449/938, 1080/878

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 449/938,1080/878

Given numbers are 449/938,1080/878

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 449,1080

Least Common Multiple of Numerators i.e. LCM of 449,1080 is 484920.

GCF of Denominators means GCF of 938,878 as per the given fractions.

GCF of 938,878 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 449,1080

LCM of Fractions 449/938,1080/878 is 242460

Given numbers has no common factors except 1. So, there LCM is their product i.e 484920

Least Common Multiple of 449,1080 with GCF Formula

Least Common Multiple of 449,1080 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 449,1080 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(449,1080) = 1

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

GCF(449,1080) x common factors =1 x 1 = 1

LCM(449,1080) = ( 449 × 1080 ) / 1

LCM(449,1080) = 484920 / 1

LCM(449,1080) = 484920


Lets's calculate GCF of 938,878

2 938, 878
469, 439

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 484920/2

Therefore the LCM of Fractions 449/938,1080/878 is 242460

Greatest Common Factor of 938,878 By Matching Biggest Common Factor Method

Greatest Common Factor of 938,878 By Matching Biggest Common Factor Method

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Greatest Common Factor

We found the factors 938,878 . The biggest common factor number is the GCF number.
So the greatest common factor 938,878 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 449/938, 1080/878

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 449/938, 1080/878?

Answer: LCM of Numerators as per given numbers 449/938, 1080/878 is

LCM of Numerators i.e. for 449,1080 is 484920

GCF of denominators i.e. for 938,878 is 2.

Thus, LCM of Fractions is 242460.Finally, LCM of Fractions for 449/938, 1080/878 is 242460.