Least Common Multiple of 31/136, 666/594, 538/181

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/136, 666/594, 538/181 quickly i.e. 5553774 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/136, 666/594, 538/181 is 5553774.

LCM(31/136, 666/594, 538/181) = 5553774

LCM of 31/136, 666/594, 538/181

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 31/136,666/594,538/181

Given numbers are 31/136,666/594,538/181

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 31,666,538

Least Common Multiple of Numerators i.e. LCM of 31,666,538 is 5553774.

GCF of Denominators means GCF of 136,594,181 as per the given fractions.

GCF of 136,594,181 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,666,538

LCM of Fractions 31/136,666/594,538/181 is 5553774

2 31, 666, 538
31, 333, 269

∴ So the LCM of the given numbers is 2 x 31 x 333 x 269 = 5553774

Least Common Multiple of 31,666,538 with GCF Formula

Least Common Multiple of 31,666,538 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 31,666,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,666,538) = 1

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

GCF(31,666,538) x common factors =1 x 2 = 2

LCM(31,666,538) = ( 31 × 666 × 538 ) / 2

LCM(31,666,538) = 11107548 / 2

LCM(31,666,538) = 5553774


Lets's calculate GCF of 136,594,181

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5553774/1

Therefore the LCM of Fractions 31/136,666/594,538/181 is 5553774

Greatest Common Factor of 136,594,181 By Matching Biggest Common Factor Method

Greatest Common Factor of 136,594,181 By Matching Biggest Common Factor Method

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Factors of 181

List of positive integer factors of 181 that divides 181 without a remainder.

1,181

Greatest Common Factor

We found the factors 136,594,181 . The biggest common factor number is the GCF number.
So the greatest common factor 136,594,181 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 31/136, 666/594, 538/181

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 31/136, 666/594, 538/181?

Answer: LCM of Numerators as per given numbers 31/136, 666/594, 538/181 is

LCM of Numerators i.e. for 31,666,538 is 5553774

GCF of denominators i.e. for 136,594,181 is 1.

Thus, LCM of Fractions is 5553774.Finally, LCM of Fractions for 31/136, 666/594, 538/181 is 5553774.