Least Common Multiple of 31/238, 39/876, 935/993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/238, 39/876, 935/993 quickly i.e. 1130415 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/238, 39/876, 935/993 is 1130415.

LCM(31/238, 39/876, 935/993) = 1130415

LCM of 31/238, 39/876, 935/993

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 31/238,39/876,935/993

Given numbers are 31/238,39/876,935/993

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 31,39,935

Least Common Multiple of Numerators i.e. LCM of 31,39,935 is 1130415.

GCF of Denominators means GCF of 238,876,993 as per the given fractions.

GCF of 238,876,993 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,39,935

LCM of Fractions 31/238,39/876,935/993 is 1130415

Given numbers has no common factors except 1. So, there LCM is their product i.e 1130415

Least Common Multiple of 31,39,935 with GCF Formula

Least Common Multiple of 31,39,935 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 31,39,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,39,935) = 1

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

GCF(31,39,935) x common factors =1 x 1 = 1

LCM(31,39,935) = ( 31 × 39 × 935 ) / 1

LCM(31,39,935) = 1130415 / 1

LCM(31,39,935) = 1130415


Lets's calculate GCF of 238,876,993

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1130415/1

Therefore the LCM of Fractions 31/238,39/876,935/993 is 1130415

Greatest Common Factor of 238,876,993 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,876,993 By Matching Biggest Common Factor Method

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Greatest Common Factor

We found the factors 238,876,993 . The biggest common factor number is the GCF number.
So the greatest common factor 238,876,993 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 31/238, 39/876, 935/993

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 31/238, 39/876, 935/993?

Answer: LCM of Numerators as per given numbers 31/238, 39/876, 935/993 is

LCM of Numerators i.e. for 31,39,935 is 1130415

GCF of denominators i.e. for 238,876,993 is 1.

Thus, LCM of Fractions is 1130415.Finally, LCM of Fractions for 31/238, 39/876, 935/993 is 1130415.