Least Common Multiple of 931/18, 662/31, 229/181

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 931/18, 662/31, 229/181 quickly i.e. 141137738 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 931/18, 662/31, 229/181 is 141137738.

LCM(931/18, 662/31, 229/181) = 141137738

LCM of 931/18, 662/31, 229/181

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 931/18,662/31,229/181

Given numbers are 931/18,662/31,229/181

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 931,662,229

Least Common Multiple of Numerators i.e. LCM of 931,662,229 is 141137738.

GCF of Denominators means GCF of 18,31,181 as per the given fractions.

GCF of 18,31,181 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 931,662,229

LCM of Fractions 931/18,662/31,229/181 is 141137738

Given numbers has no common factors except 1. So, there LCM is their product i.e 141137738

Least Common Multiple of 931,662,229 with GCF Formula

Least Common Multiple of 931,662,229 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 931,662,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(931,662,229) = 1

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

GCF(931,662,229) x common factors =1 x 1 = 1

LCM(931,662,229) = ( 931 × 662 × 229 ) / 1

LCM(931,662,229) = 141137738 / 1

LCM(931,662,229) = 141137738


Lets's calculate GCF of 18,31,181

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 141137738/1

Therefore the LCM of Fractions 931/18,662/31,229/181 is 141137738

Greatest Common Factor of 18,31,181 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,31,181 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

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 18,31,181 . The biggest common factor number is the GCF number.
So the greatest common factor 18,31,181 is 1.


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 931/18, 662/31, 229/181

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 931/18, 662/31, 229/181?

Answer: LCM of Numerators as per given numbers 931/18, 662/31, 229/181 is

LCM of Numerators i.e. for 931,662,229 is 141137738

GCF of denominators i.e. for 18,31,181 is 1.

Thus, LCM of Fractions is 141137738.Finally, LCM of Fractions for 931/18, 662/31, 229/181 is 141137738.