Least Common Multiple of 113/31, 143/2127

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 113/31, 143/2127 quickly i.e. 16159 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 113/31, 143/2127 is 16159.

LCM(113/31, 143/2127) = 16159

LCM of 113/31, 143/2127

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 113/31,143/2127

Given numbers are 113/31,143/2127

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 113,143

Least Common Multiple of Numerators i.e. LCM of 113,143 is 16159.

GCF of Denominators means GCF of 31,2127 as per the given fractions.

GCF of 31,2127 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 113,143

LCM of Fractions 113/31,143/2127 is 16159

Given numbers has no common factors except 1. So, there LCM is their product i.e 16159

Least Common Multiple of 113,143 with GCF Formula

Least Common Multiple of 113,143 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 113,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(113,143) = 1

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

GCF(113,143) x common factors =1 x 1 = 1

LCM(113,143) = ( 113 × 143 ) / 1

LCM(113,143) = 16159 / 1

LCM(113,143) = 16159


Lets's calculate GCF of 31,2127

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16159/1

Therefore the LCM of Fractions 113/31,143/2127 is 16159

Greatest Common Factor of 31,2127 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,2127 By Matching Biggest Common Factor Method

Factors of 31

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

1,31

Factors of 2127

List of positive integer factors of 2127 that divides 2127 without a remainder.

1,3,709,2127

Greatest Common Factor

We found the factors 31,2127 . The biggest common factor number is the GCF number.
So the greatest common factor 31,2127 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 113/31, 143/2127

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 113/31, 143/2127?

Answer: LCM of Numerators as per given numbers 113/31, 143/2127 is

LCM of Numerators i.e. for 113,143 is 16159

GCF of denominators i.e. for 31,2127 is 1.

Thus, LCM of Fractions is 16159.Finally, LCM of Fractions for 113/31, 143/2127 is 16159.