Least Common Multiple of 31/28, 852/11, 238/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/28, 852/11, 238/684 quickly i.e. 3143028 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/28, 852/11, 238/684 is 3143028.

LCM(31/28, 852/11, 238/684) = 3143028

LCM of 31/28, 852/11, 238/684

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 31/28,852/11,238/684

Given numbers are 31/28,852/11,238/684

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 31,852,238

Least Common Multiple of Numerators i.e. LCM of 31,852,238 is 3143028.

GCF of Denominators means GCF of 28,11,684 as per the given fractions.

GCF of 28,11,684 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,852,238

LCM of Fractions 31/28,852/11,238/684 is 3143028

2 31, 852, 238
31, 426, 119

∴ So the LCM of the given numbers is 2 x 31 x 426 x 119 = 3143028

Least Common Multiple of 31,852,238 with GCF Formula

Least Common Multiple of 31,852,238 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 31,852,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,852,238) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(31,852,238) x common factors =1 x 2 = 2

LCM(31,852,238) = ( 31 × 852 × 238 ) / 2

LCM(31,852,238) = 6286056 / 2

LCM(31,852,238) = 3143028


Lets's calculate GCF of 28,11,684

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3143028/1

Therefore the LCM of Fractions 31/28,852/11,238/684 is 3143028

Greatest Common Factor of 28,11,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,11,684 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors 28,11,684 . The biggest common factor number is the GCF number.
So the greatest common factor 28,11,684 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 31/28, 852/11, 238/684

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 31/28, 852/11, 238/684?

Answer: LCM of Numerators as per given numbers 31/28, 852/11, 238/684 is

LCM of Numerators i.e. for 31,852,238 is 3143028

GCF of denominators i.e. for 28,11,684 is 1.

Thus, LCM of Fractions is 3143028.Finally, LCM of Fractions for 31/28, 852/11, 238/684 is 3143028.