Least Common Multiple of 872/358, 2771/808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 872/358, 2771/808 quickly i.e. 1208156 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 872/358, 2771/808 is 1208156.

LCM(872/358, 2771/808) = 1208156

LCM of 872/358, 2771/808

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 872/358,2771/808

Given numbers are 872/358,2771/808

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 872,2771

Least Common Multiple of Numerators i.e. LCM of 872,2771 is 2416312.

GCF of Denominators means GCF of 358,808 as per the given fractions.

GCF of 358,808 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 872,2771

LCM of Fractions 872/358,2771/808 is 1208156

Given numbers has no common factors except 1. So, there LCM is their product i.e 2416312

Least Common Multiple of 872,2771 with GCF Formula

Least Common Multiple of 872,2771 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 872,2771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,2771) = 1

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

GCF(872,2771) x common factors =1 x 1 = 1

LCM(872,2771) = ( 872 × 2771 ) / 1

LCM(872,2771) = 2416312 / 1

LCM(872,2771) = 2416312


Lets's calculate GCF of 358,808

2 358, 808
179, 404

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2416312/2

Therefore the LCM of Fractions 872/358,2771/808 is 1208156

Greatest Common Factor of 358,808 By Matching Biggest Common Factor Method

Greatest Common Factor of 358,808 By Matching Biggest Common Factor Method

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Greatest Common Factor

We found the factors 358,808 . The biggest common factor number is the GCF number.
So the greatest common factor 358,808 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 872/358, 2771/808

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 872/358, 2771/808?

Answer: LCM of Numerators as per given numbers 872/358, 2771/808 is

LCM of Numerators i.e. for 872,2771 is 2416312

GCF of denominators i.e. for 358,808 is 2.

Thus, LCM of Fractions is 1208156.Finally, LCM of Fractions for 872/358, 2771/808 is 1208156.