Least Common Multiple of 287/502, 804/324, 659/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 287/502, 804/324, 659/722 quickly i.e. 76031466 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 287/502, 804/324, 659/722 is 76031466.

LCM(287/502, 804/324, 659/722) = 76031466

LCM of 287/502, 804/324, 659/722

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 287/502,804/324,659/722

Given numbers are 287/502,804/324,659/722

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 287,804,659

Least Common Multiple of Numerators i.e. LCM of 287,804,659 is 152062932.

GCF of Denominators means GCF of 502,324,722 as per the given fractions.

GCF of 502,324,722 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 287,804,659

LCM of Fractions 287/502,804/324,659/722 is 76031466

Given numbers has no common factors except 1. So, there LCM is their product i.e 152062932

Least Common Multiple of 287,804,659 with GCF Formula

Least Common Multiple of 287,804,659 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 287,804,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(287,804,659) = 1

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

GCF(287,804,659) x common factors =1 x 1 = 1

LCM(287,804,659) = ( 287 × 804 × 659 ) / 1

LCM(287,804,659) = 152062932 / 1

LCM(287,804,659) = 152062932


Lets's calculate GCF of 502,324,722

2 502, 324, 722
251, 162, 361

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 152062932/2

Therefore the LCM of Fractions 287/502,804/324,659/722 is 76031466

Greatest Common Factor of 502,324,722 By Matching Biggest Common Factor Method

Greatest Common Factor of 502,324,722 By Matching Biggest Common Factor Method

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Greatest Common Factor

We found the factors 502,324,722 . The biggest common factor number is the GCF number.
So the greatest common factor 502,324,722 is 2.


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 287/502, 804/324, 659/722

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 287/502, 804/324, 659/722?

Answer: LCM of Numerators as per given numbers 287/502, 804/324, 659/722 is

LCM of Numerators i.e. for 287,804,659 is 152062932

GCF of denominators i.e. for 502,324,722 is 2.

Thus, LCM of Fractions is 76031466.Finally, LCM of Fractions for 287/502, 804/324, 659/722 is 76031466.