Least Common Multiple of 823/507, 779/318, 581/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 823/507, 779/318, 581/614 quickly i.e. 372488977 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 823/507, 779/318, 581/614 is 372488977.

LCM(823/507, 779/318, 581/614) = 372488977

LCM of 823/507, 779/318, 581/614

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 823/507,779/318,581/614

Given numbers are 823/507,779/318,581/614

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 823,779,581

Least Common Multiple of Numerators i.e. LCM of 823,779,581 is 372488977.

GCF of Denominators means GCF of 507,318,614 as per the given fractions.

GCF of 507,318,614 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 823,779,581

LCM of Fractions 823/507,779/318,581/614 is 372488977

Given numbers has no common factors except 1. So, there LCM is their product i.e 372488977

Least Common Multiple of 823,779,581 with GCF Formula

Least Common Multiple of 823,779,581 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 823,779,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(823,779,581) = 1

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

GCF(823,779,581) x common factors =1 x 1 = 1

LCM(823,779,581) = ( 823 × 779 × 581 ) / 1

LCM(823,779,581) = 372488977 / 1

LCM(823,779,581) = 372488977


Lets's calculate GCF of 507,318,614

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 372488977/1

Therefore the LCM of Fractions 823/507,779/318,581/614 is 372488977

Greatest Common Factor of 507,318,614 By Matching Biggest Common Factor Method

Greatest Common Factor of 507,318,614 By Matching Biggest Common Factor Method

Factors of 507

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

1,3,13,39,169,507

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Greatest Common Factor

We found the factors 507,318,614 . The biggest common factor number is the GCF number.
So the greatest common factor 507,318,614 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 823/507, 779/318, 581/614

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 823/507, 779/318, 581/614?

Answer: LCM of Numerators as per given numbers 823/507, 779/318, 581/614 is

LCM of Numerators i.e. for 823,779,581 is 372488977

GCF of denominators i.e. for 507,318,614 is 1.

Thus, LCM of Fractions is 372488977.Finally, LCM of Fractions for 823/507, 779/318, 581/614 is 372488977.