Least Common Multiple of 85/588, 31/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/588, 31/507 quickly i.e. 2635/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/588, 31/507 is 2635/3.

LCM(85/588, 31/507) = 2635/3

LCM of 85/588, 31/507

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 85/588,31/507

Given numbers are 85/588,31/507

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 85,31

Least Common Multiple of Numerators i.e. LCM of 85,31 is 2635.

GCF of Denominators means GCF of 588,507 as per the given fractions.

GCF of 588,507 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,31

LCM of Fractions 85/588,31/507 is 2635/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 2635

Least Common Multiple of 85,31 with GCF Formula

Least Common Multiple of 85,31 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 85,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,31) = 1

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

GCF(85,31) x common factors =1 x 1 = 1

LCM(85,31) = ( 85 × 31 ) / 1

LCM(85,31) = 2635 / 1

LCM(85,31) = 2635


Lets's calculate GCF of 588,507

3 588, 507
196, 169

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2635/3

Therefore the LCM of Fractions 85/588,31/507 is 2635/3

Greatest Common Factor of 588,507 By Matching Biggest Common Factor Method

Greatest Common Factor of 588,507 By Matching Biggest Common Factor Method

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Greatest Common Factor

We found the factors 588,507 . The biggest common factor number is the GCF number.
So the greatest common factor 588,507 is 3.


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 85/588, 31/507

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 85/588, 31/507?

Answer: LCM of Numerators as per given numbers 85/588, 31/507 is

LCM of Numerators i.e. for 85,31 is 2635

GCF of denominators i.e. for 588,507 is 3.

Thus, LCM of Fractions is 2635/3.Finally, LCM of Fractions for 85/588, 31/507 is 2635/3.