Least Common Multiple of 872/71, 469/17, 811/884

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 872/71, 469/17, 811/884 quickly i.e. 331673048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 872/71, 469/17, 811/884 is 331673048.

LCM(872/71, 469/17, 811/884) = 331673048

LCM of 872/71, 469/17, 811/884

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 872/71,469/17,811/884

Given numbers are 872/71,469/17,811/884

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 872,469,811

Least Common Multiple of Numerators i.e. LCM of 872,469,811 is 331673048.

GCF of Denominators means GCF of 71,17,884 as per the given fractions.

GCF of 71,17,884 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 872,469,811

LCM of Fractions 872/71,469/17,811/884 is 331673048

Given numbers has no common factors except 1. So, there LCM is their product i.e 331673048

Least Common Multiple of 872,469,811 with GCF Formula

Least Common Multiple of 872,469,811 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 872,469,811 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,469,811) = 1

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

GCF(872,469,811) x common factors =1 x 1 = 1

LCM(872,469,811) = ( 872 × 469 × 811 ) / 1

LCM(872,469,811) = 331673048 / 1

LCM(872,469,811) = 331673048


Lets's calculate GCF of 71,17,884

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 331673048/1

Therefore the LCM of Fractions 872/71,469/17,811/884 is 331673048

Greatest Common Factor of 71,17,884 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,17,884 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Greatest Common Factor

We found the factors 71,17,884 . The biggest common factor number is the GCF number.
So the greatest common factor 71,17,884 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 872/71, 469/17, 811/884

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 872/71, 469/17, 811/884?

Answer: LCM of Numerators as per given numbers 872/71, 469/17, 811/884 is

LCM of Numerators i.e. for 872,469,811 is 331673048

GCF of denominators i.e. for 71,17,884 is 1.

Thus, LCM of Fractions is 331673048.Finally, LCM of Fractions for 872/71, 469/17, 811/884 is 331673048.