Least Common Multiple of 871/969, 538/553, 519/239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 871/969, 538/553, 519/239 quickly i.e. 243202362 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 871/969, 538/553, 519/239 is 243202362.

LCM(871/969, 538/553, 519/239) = 243202362

LCM of 871/969, 538/553, 519/239

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 871/969,538/553,519/239

Given numbers are 871/969,538/553,519/239

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 871,538,519

Least Common Multiple of Numerators i.e. LCM of 871,538,519 is 243202362.

GCF of Denominators means GCF of 969,553,239 as per the given fractions.

GCF of 969,553,239 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 871,538,519

LCM of Fractions 871/969,538/553,519/239 is 243202362

Given numbers has no common factors except 1. So, there LCM is their product i.e 243202362

Least Common Multiple of 871,538,519 with GCF Formula

Least Common Multiple of 871,538,519 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 871,538,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(871,538,519) = 1

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

GCF(871,538,519) x common factors =1 x 1 = 1

LCM(871,538,519) = ( 871 × 538 × 519 ) / 1

LCM(871,538,519) = 243202362 / 1

LCM(871,538,519) = 243202362


Lets's calculate GCF of 969,553,239

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 243202362/1

Therefore the LCM of Fractions 871/969,538/553,519/239 is 243202362

Greatest Common Factor of 969,553,239 By Matching Biggest Common Factor Method

Greatest Common Factor of 969,553,239 By Matching Biggest Common Factor Method

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Greatest Common Factor

We found the factors 969,553,239 . The biggest common factor number is the GCF number.
So the greatest common factor 969,553,239 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 871/969, 538/553, 519/239

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 871/969, 538/553, 519/239?

Answer: LCM of Numerators as per given numbers 871/969, 538/553, 519/239 is

LCM of Numerators i.e. for 871,538,519 is 243202362

GCF of denominators i.e. for 969,553,239 is 1.

Thus, LCM of Fractions is 243202362.Finally, LCM of Fractions for 871/969, 538/553, 519/239 is 243202362.