Least Common Multiple of 508/823, 317/664, 117/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 508/823, 317/664, 117/980 quickly i.e. 18841212 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 508/823, 317/664, 117/980 is 18841212.

LCM(508/823, 317/664, 117/980) = 18841212

LCM of 508/823, 317/664, 117/980

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 508/823,317/664,117/980

Given numbers are 508/823,317/664,117/980

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 508,317,117

Least Common Multiple of Numerators i.e. LCM of 508,317,117 is 18841212.

GCF of Denominators means GCF of 823,664,980 as per the given fractions.

GCF of 823,664,980 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 508,317,117

LCM of Fractions 508/823,317/664,117/980 is 18841212

Given numbers has no common factors except 1. So, there LCM is their product i.e 18841212

Least Common Multiple of 508,317,117 with GCF Formula

Least Common Multiple of 508,317,117 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 508,317,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(508,317,117) = 1

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

GCF(508,317,117) x common factors =1 x 1 = 1

LCM(508,317,117) = ( 508 × 317 × 117 ) / 1

LCM(508,317,117) = 18841212 / 1

LCM(508,317,117) = 18841212


Lets's calculate GCF of 823,664,980

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18841212/1

Therefore the LCM of Fractions 508/823,317/664,117/980 is 18841212

Greatest Common Factor of 823,664,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 823,664,980 By Matching Biggest Common Factor Method

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 823,664,980 . The biggest common factor number is the GCF number.
So the greatest common factor 823,664,980 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 508/823, 317/664, 117/980

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 508/823, 317/664, 117/980?

Answer: LCM of Numerators as per given numbers 508/823, 317/664, 117/980 is

LCM of Numerators i.e. for 508,317,117 is 18841212

GCF of denominators i.e. for 823,664,980 is 1.

Thus, LCM of Fractions is 18841212.Finally, LCM of Fractions for 508/823, 317/664, 117/980 is 18841212.