Least Common Multiple of 9867/328, 5369/903

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9867/328, 5369/903 quickly i.e. 4075071 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9867/328, 5369/903 is 4075071.

LCM(9867/328, 5369/903) = 4075071

LCM of 9867/328, 5369/903

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 9867/328,5369/903

Given numbers are 9867/328,5369/903

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 9867,5369

Least Common Multiple of Numerators i.e. LCM of 9867,5369 is 4075071.

GCF of Denominators means GCF of 328,903 as per the given fractions.

GCF of 328,903 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9867,5369

LCM of Fractions 9867/328,5369/903 is 4075071

13 9867, 5369
759, 413

∴ So the LCM of the given numbers is 13 x 759 x 413 = 4075071

Least Common Multiple of 9867,5369 with GCF Formula

Least Common Multiple of 9867,5369 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 9867,5369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9867,5369) = 13

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

GCF(9867,5369) x common factors =13 x 1 = 13

LCM(9867,5369) = ( 9867 × 5369 ) / 13

LCM(9867,5369) = 52975923 / 13

LCM(9867,5369) = 4075071


Lets's calculate GCF of 328,903

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4075071/1

Therefore the LCM of Fractions 9867/328,5369/903 is 4075071

Greatest Common Factor of 328,903 By Matching Biggest Common Factor Method

Greatest Common Factor of 328,903 By Matching Biggest Common Factor Method

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

Greatest Common Factor

We found the factors 328,903 . The biggest common factor number is the GCF number.
So the greatest common factor 328,903 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9867/328, 5369/903

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 9867/328, 5369/903?

Answer: LCM of Numerators as per given numbers 9867/328, 5369/903 is

LCM of Numerators i.e. for 9867,5369 is 4075071

GCF of denominators i.e. for 328,903 is 1.

Thus, LCM of Fractions is 4075071.Finally, LCM of Fractions for 9867/328, 5369/903 is 4075071.