Least Common Multiple of 508/86, 213/4561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 508/86, 213/4561 quickly i.e. 108204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 508/86, 213/4561 is 108204.

LCM(508/86, 213/4561) = 108204

LCM of 508/86, 213/4561

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 508/86,213/4561

Given numbers are 508/86,213/4561

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 508,213

Least Common Multiple of Numerators i.e. LCM of 508,213 is 108204.

GCF of Denominators means GCF of 86,4561 as per the given fractions.

GCF of 86,4561 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 508,213

LCM of Fractions 508/86,213/4561 is 108204

Given numbers has no common factors except 1. So, there LCM is their product i.e 108204

Least Common Multiple of 508,213 with GCF Formula

Least Common Multiple of 508,213 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 508,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(508,213) = 1

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

GCF(508,213) x common factors =1 x 1 = 1

LCM(508,213) = ( 508 × 213 ) / 1

LCM(508,213) = 108204 / 1

LCM(508,213) = 108204


Lets's calculate GCF of 86,4561

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108204/1

Therefore the LCM of Fractions 508/86,213/4561 is 108204

Greatest Common Factor of 86,4561 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,4561 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 4561

List of positive integer factors of 4561 that divides 4561 without a remainder.

1,4561

Greatest Common Factor

We found the factors 86,4561 . The biggest common factor number is the GCF number.
So the greatest common factor 86,4561 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 508/86, 213/4561

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 508/86, 213/4561?

Answer: LCM of Numerators as per given numbers 508/86, 213/4561 is

LCM of Numerators i.e. for 508,213 is 108204

GCF of denominators i.e. for 86,4561 is 1.

Thus, LCM of Fractions is 108204.Finally, LCM of Fractions for 508/86, 213/4561 is 108204.