Least Common Multiple of 31/200, 20/136, 123/926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/200, 20/136, 123/926 quickly i.e. 38130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/200, 20/136, 123/926 is 38130.

LCM(31/200, 20/136, 123/926) = 38130

LCM of 31/200, 20/136, 123/926

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 31/200,20/136,123/926

Given numbers are 31/200,20/136,123/926

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 31,20,123

Least Common Multiple of Numerators i.e. LCM of 31,20,123 is 76260.

GCF of Denominators means GCF of 200,136,926 as per the given fractions.

GCF of 200,136,926 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,20,123

LCM of Fractions 31/200,20/136,123/926 is 38130

Given numbers has no common factors except 1. So, there LCM is their product i.e 76260

Least Common Multiple of 31,20,123 with GCF Formula

Least Common Multiple of 31,20,123 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 31,20,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,20,123) = 1

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

GCF(31,20,123) x common factors =1 x 1 = 1

LCM(31,20,123) = ( 31 × 20 × 123 ) / 1

LCM(31,20,123) = 76260 / 1

LCM(31,20,123) = 76260


Lets's calculate GCF of 200,136,926

2 200, 136, 926
100, 68, 463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76260/2

Therefore the LCM of Fractions 31/200,20/136,123/926 is 38130

Greatest Common Factor of 200,136,926 By Matching Biggest Common Factor Method

Greatest Common Factor of 200,136,926 By Matching Biggest Common Factor Method

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

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 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Greatest Common Factor

We found the factors 200,136,926 . The biggest common factor number is the GCF number.
So the greatest common factor 200,136,926 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 31/200, 20/136, 123/926

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 31/200, 20/136, 123/926?

Answer: LCM of Numerators as per given numbers 31/200, 20/136, 123/926 is

LCM of Numerators i.e. for 31,20,123 is 76260

GCF of denominators i.e. for 200,136,926 is 2.

Thus, LCM of Fractions is 38130.Finally, LCM of Fractions for 31/200, 20/136, 123/926 is 38130.