Least Common Multiple of 804/826, 872/287

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 804/826, 872/287 quickly i.e. 175272/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 804/826, 872/287 is 175272/7.

LCM(804/826, 872/287) = 175272/7

LCM of 804/826, 872/287

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 804/826,872/287

Given numbers are 804/826,872/287

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 804,872

Least Common Multiple of Numerators i.e. LCM of 804,872 is 175272.

GCF of Denominators means GCF of 826,287 as per the given fractions.

GCF of 826,287 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 804,872

LCM of Fractions 804/826,872/287 is 175272/7

2 804, 872
2 402, 436
201, 218

∴ So the LCM of the given numbers is 2 x 2 x 201 x 218 = 175272

Least Common Multiple of 804,872 with GCF Formula

Least Common Multiple of 804,872 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 804,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(804,872) = 4

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

GCF(804,872) x common factors =4 x 1 = 4

LCM(804,872) = ( 804 × 872 ) / 4

LCM(804,872) = 701088 / 4

LCM(804,872) = 175272


Lets's calculate GCF of 826,287

7 826, 287
118, 41

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 175272/7

Therefore the LCM of Fractions 804/826,872/287 is 175272/7

Greatest Common Factor of 826,287 By Matching Biggest Common Factor Method

Greatest Common Factor of 826,287 By Matching Biggest Common Factor Method

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Greatest Common Factor

We found the factors 826,287 . The biggest common factor number is the GCF number.
So the greatest common factor 826,287 is 7.


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 804/826, 872/287

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 804/826, 872/287?

Answer: LCM of Numerators as per given numbers 804/826, 872/287 is

LCM of Numerators i.e. for 804,872 is 175272

GCF of denominators i.e. for 826,287 is 7.

Thus, LCM of Fractions is 175272/7.Finally, LCM of Fractions for 804/826, 872/287 is 175272/7.