Least Common Multiple of 31/873, 575/808, 364/996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/873, 575/808, 364/996 quickly i.e. 6488300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/873, 575/808, 364/996 is 6488300.

LCM(31/873, 575/808, 364/996) = 6488300

LCM of 31/873, 575/808, 364/996

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 31/873,575/808,364/996

Given numbers are 31/873,575/808,364/996

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 31,575,364

Least Common Multiple of Numerators i.e. LCM of 31,575,364 is 6488300.

GCF of Denominators means GCF of 873,808,996 as per the given fractions.

GCF of 873,808,996 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,575,364

LCM of Fractions 31/873,575/808,364/996 is 6488300

Given numbers has no common factors except 1. So, there LCM is their product i.e 6488300

Least Common Multiple of 31,575,364 with GCF Formula

Least Common Multiple of 31,575,364 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 31,575,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,575,364) = 1

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

GCF(31,575,364) x common factors =1 x 1 = 1

LCM(31,575,364) = ( 31 × 575 × 364 ) / 1

LCM(31,575,364) = 6488300 / 1

LCM(31,575,364) = 6488300


Lets's calculate GCF of 873,808,996

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6488300/1

Therefore the LCM of Fractions 31/873,575/808,364/996 is 6488300

Greatest Common Factor of 873,808,996 By Matching Biggest Common Factor Method

Greatest Common Factor of 873,808,996 By Matching Biggest Common Factor Method

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Greatest Common Factor

We found the factors 873,808,996 . The biggest common factor number is the GCF number.
So the greatest common factor 873,808,996 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 31/873, 575/808, 364/996

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 31/873, 575/808, 364/996?

Answer: LCM of Numerators as per given numbers 31/873, 575/808, 364/996 is

LCM of Numerators i.e. for 31,575,364 is 6488300

GCF of denominators i.e. for 873,808,996 is 1.

Thus, LCM of Fractions is 6488300.Finally, LCM of Fractions for 31/873, 575/808, 364/996 is 6488300.