Least Common Multiple of 31/85, 68/623, 926/203

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/85, 68/623, 926/203 quickly i.e. 976004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/85, 68/623, 926/203 is 976004.

LCM(31/85, 68/623, 926/203) = 976004

LCM of 31/85, 68/623, 926/203

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 31/85,68/623,926/203

Given numbers are 31/85,68/623,926/203

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 31,68,926

Least Common Multiple of Numerators i.e. LCM of 31,68,926 is 976004.

GCF of Denominators means GCF of 85,623,203 as per the given fractions.

GCF of 85,623,203 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,68,926

LCM of Fractions 31/85,68/623,926/203 is 976004

2 31, 68, 926
31, 34, 463

∴ So the LCM of the given numbers is 2 x 31 x 34 x 463 = 976004

Least Common Multiple of 31,68,926 with GCF Formula

Least Common Multiple of 31,68,926 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 31,68,926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,68,926) = 1

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

GCF(31,68,926) x common factors =1 x 2 = 2

LCM(31,68,926) = ( 31 × 68 × 926 ) / 2

LCM(31,68,926) = 1952008 / 2

LCM(31,68,926) = 976004


Lets's calculate GCF of 85,623,203

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 976004/1

Therefore the LCM of Fractions 31/85,68/623,926/203 is 976004

Greatest Common Factor of 85,623,203 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,623,203 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Factors of 203

List of positive integer factors of 203 that divides 203 without a remainder.

1,7,29,203

Greatest Common Factor

We found the factors 85,623,203 . The biggest common factor number is the GCF number.
So the greatest common factor 85,623,203 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 31/85, 68/623, 926/203

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 31/85, 68/623, 926/203?

Answer: LCM of Numerators as per given numbers 31/85, 68/623, 926/203 is

LCM of Numerators i.e. for 31,68,926 is 976004

GCF of denominators i.e. for 85,623,203 is 1.

Thus, LCM of Fractions is 976004.Finally, LCM of Fractions for 31/85, 68/623, 926/203 is 976004.