Least Common Multiple of 5449/139, 8889/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5449/139, 8889/684 quickly i.e. 48436161 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5449/139, 8889/684 is 48436161.

LCM(5449/139, 8889/684) = 48436161

LCM of 5449/139, 8889/684

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 5449/139,8889/684

Given numbers are 5449/139,8889/684

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 5449,8889

Least Common Multiple of Numerators i.e. LCM of 5449,8889 is 48436161.

GCF of Denominators means GCF of 139,684 as per the given fractions.

GCF of 139,684 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5449,8889

LCM of Fractions 5449/139,8889/684 is 48436161

Given numbers has no common factors except 1. So, there LCM is their product i.e 48436161

Least Common Multiple of 5449,8889 with GCF Formula

Least Common Multiple of 5449,8889 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 5449,8889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5449,8889) = 1

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

GCF(5449,8889) x common factors =1 x 1 = 1

LCM(5449,8889) = ( 5449 × 8889 ) / 1

LCM(5449,8889) = 48436161 / 1

LCM(5449,8889) = 48436161


Lets's calculate GCF of 139,684

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48436161/1

Therefore the LCM of Fractions 5449/139,8889/684 is 48436161

Greatest Common Factor of 139,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 139,684 By Matching Biggest Common Factor Method

Factors of 139

List of positive integer factors of 139 that divides 139 without a remainder.

1,139

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors 139,684 . The biggest common factor number is the GCF number.
So the greatest common factor 139,684 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 5449/139, 8889/684

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 5449/139, 8889/684?

Answer: LCM of Numerators as per given numbers 5449/139, 8889/684 is

LCM of Numerators i.e. for 5449,8889 is 48436161

GCF of denominators i.e. for 139,684 is 1.

Thus, LCM of Fractions is 48436161.Finally, LCM of Fractions for 5449/139, 8889/684 is 48436161.