Least Common Multiple of 9904/854, 5854/391

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9904/854, 5854/391 quickly i.e. 28989008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9904/854, 5854/391 is 28989008.

LCM(9904/854, 5854/391) = 28989008

LCM of 9904/854, 5854/391

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 9904/854,5854/391

Given numbers are 9904/854,5854/391

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 9904,5854

Least Common Multiple of Numerators i.e. LCM of 9904,5854 is 28989008.

GCF of Denominators means GCF of 854,391 as per the given fractions.

GCF of 854,391 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9904,5854

LCM of Fractions 9904/854,5854/391 is 28989008

2 9904, 5854
4952, 2927

∴ So the LCM of the given numbers is 2 x 4952 x 2927 = 28989008

Least Common Multiple of 9904,5854 with GCF Formula

Least Common Multiple of 9904,5854 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 9904,5854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9904,5854) = 2

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

GCF(9904,5854) x common factors =2 x 1 = 2

LCM(9904,5854) = ( 9904 × 5854 ) / 2

LCM(9904,5854) = 57978016 / 2

LCM(9904,5854) = 28989008


Lets's calculate GCF of 854,391

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28989008/1

Therefore the LCM of Fractions 9904/854,5854/391 is 28989008

Greatest Common Factor of 854,391 By Matching Biggest Common Factor Method

Greatest Common Factor of 854,391 By Matching Biggest Common Factor Method

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Factors of 391

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

1,17,23,391

Greatest Common Factor

We found the factors 854,391 . The biggest common factor number is the GCF number.
So the greatest common factor 854,391 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 9904/854, 5854/391

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 9904/854, 5854/391?

Answer: LCM of Numerators as per given numbers 9904/854, 5854/391 is

LCM of Numerators i.e. for 9904,5854 is 28989008

GCF of denominators i.e. for 854,391 is 1.

Thus, LCM of Fractions is 28989008.Finally, LCM of Fractions for 9904/854, 5854/391 is 28989008.