Least Common Multiple of 31/884, 40/814, 293/884

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/884, 40/814, 293/884 quickly i.e. 181660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/884, 40/814, 293/884 is 181660.

LCM(31/884, 40/814, 293/884) = 181660

LCM of 31/884, 40/814, 293/884

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 31/884,40/814,293/884

Given numbers are 31/884,40/814,293/884

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 31,40,293

Least Common Multiple of Numerators i.e. LCM of 31,40,293 is 363320.

GCF of Denominators means GCF of 884,814,884 as per the given fractions.

GCF of 884,814,884 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,40,293

LCM of Fractions 31/884,40/814,293/884 is 181660

Given numbers has no common factors except 1. So, there LCM is their product i.e 363320

Least Common Multiple of 31,40,293 with GCF Formula

Least Common Multiple of 31,40,293 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 31,40,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,40,293) = 1

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

GCF(31,40,293) x common factors =1 x 1 = 1

LCM(31,40,293) = ( 31 × 40 × 293 ) / 1

LCM(31,40,293) = 363320 / 1

LCM(31,40,293) = 363320


Lets's calculate GCF of 884,814,884

2 884, 814, 884
442, 407, 442

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 363320/2

Therefore the LCM of Fractions 31/884,40/814,293/884 is 181660

Greatest Common Factor of 884,814,884 By Matching Biggest Common Factor Method

Greatest Common Factor of 884,814,884 By Matching Biggest Common Factor Method

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

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

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 884,814,884 . The biggest common factor number is the GCF number.
So the greatest common factor 884,814,884 is 2.


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 31/884, 40/814, 293/884

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 31/884, 40/814, 293/884?

Answer: LCM of Numerators as per given numbers 31/884, 40/814, 293/884 is

LCM of Numerators i.e. for 31,40,293 is 363320

GCF of denominators i.e. for 884,814,884 is 2.

Thus, LCM of Fractions is 181660.Finally, LCM of Fractions for 31/884, 40/814, 293/884 is 181660.