Least Common Multiple of 31/296, 381/226, 592/936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/296, 381/226, 592/936 quickly i.e. 3496056 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/296, 381/226, 592/936 is 3496056.

LCM(31/296, 381/226, 592/936) = 3496056

LCM of 31/296, 381/226, 592/936

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 31/296,381/226,592/936

Given numbers are 31/296,381/226,592/936

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 31,381,592

Least Common Multiple of Numerators i.e. LCM of 31,381,592 is 6992112.

GCF of Denominators means GCF of 296,226,936 as per the given fractions.

GCF of 296,226,936 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,381,592

LCM of Fractions 31/296,381/226,592/936 is 3496056

Given numbers has no common factors except 1. So, there LCM is their product i.e 6992112

Least Common Multiple of 31,381,592 with GCF Formula

Least Common Multiple of 31,381,592 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 31,381,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,381,592) = 1

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

GCF(31,381,592) x common factors =1 x 1 = 1

LCM(31,381,592) = ( 31 × 381 × 592 ) / 1

LCM(31,381,592) = 6992112 / 1

LCM(31,381,592) = 6992112


Lets's calculate GCF of 296,226,936

2 296, 226, 936
148, 113, 468

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6992112/2

Therefore the LCM of Fractions 31/296,381/226,592/936 is 3496056

Greatest Common Factor of 296,226,936 By Matching Biggest Common Factor Method

Greatest Common Factor of 296,226,936 By Matching Biggest Common Factor Method

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Greatest Common Factor

We found the factors 296,226,936 . The biggest common factor number is the GCF number.
So the greatest common factor 296,226,936 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 31/296, 381/226, 592/936

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 31/296, 381/226, 592/936?

Answer: LCM of Numerators as per given numbers 31/296, 381/226, 592/936 is

LCM of Numerators i.e. for 31,381,592 is 6992112

GCF of denominators i.e. for 296,226,936 is 2.

Thus, LCM of Fractions is 3496056.Finally, LCM of Fractions for 31/296, 381/226, 592/936 is 3496056.