Least Common Multiple of 1138/171, 4376/9857

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1138/171, 4376/9857 quickly i.e. 2489944 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1138/171, 4376/9857 is 2489944.

LCM(1138/171, 4376/9857) = 2489944

LCM of 1138/171, 4376/9857

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 1138/171,4376/9857

Given numbers are 1138/171,4376/9857

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 1138,4376

Least Common Multiple of Numerators i.e. LCM of 1138,4376 is 2489944.

GCF of Denominators means GCF of 171,9857 as per the given fractions.

GCF of 171,9857 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1138,4376

LCM of Fractions 1138/171,4376/9857 is 2489944

2 1138, 4376
569, 2188

∴ So the LCM of the given numbers is 2 x 569 x 2188 = 2489944

Least Common Multiple of 1138,4376 with GCF Formula

Least Common Multiple of 1138,4376 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 1138,4376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1138,4376) = 2

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

GCF(1138,4376) x common factors =2 x 1 = 2

LCM(1138,4376) = ( 1138 × 4376 ) / 2

LCM(1138,4376) = 4979888 / 2

LCM(1138,4376) = 2489944


Lets's calculate GCF of 171,9857

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2489944/1

Therefore the LCM of Fractions 1138/171,4376/9857 is 2489944

Greatest Common Factor of 171,9857 By Matching Biggest Common Factor Method

Greatest Common Factor of 171,9857 By Matching Biggest Common Factor Method

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 9857

List of positive integer factors of 9857 that divides 9857 without a remainder.

1,9857

Greatest Common Factor

We found the factors 171,9857 . The biggest common factor number is the GCF number.
So the greatest common factor 171,9857 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 1138/171, 4376/9857

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 1138/171, 4376/9857?

Answer: LCM of Numerators as per given numbers 1138/171, 4376/9857 is

LCM of Numerators i.e. for 1138,4376 is 2489944

GCF of denominators i.e. for 171,9857 is 1.

Thus, LCM of Fractions is 2489944.Finally, LCM of Fractions for 1138/171, 4376/9857 is 2489944.