Least Common Multiple of 576/870, 8287/229

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 576/870, 8287/229 quickly i.e. 4773312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 576/870, 8287/229 is 4773312.

LCM(576/870, 8287/229) = 4773312

LCM of 576/870, 8287/229

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 576/870,8287/229

Given numbers are 576/870,8287/229

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 576,8287

Least Common Multiple of Numerators i.e. LCM of 576,8287 is 4773312.

GCF of Denominators means GCF of 870,229 as per the given fractions.

GCF of 870,229 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 576,8287

LCM of Fractions 576/870,8287/229 is 4773312

Given numbers has no common factors except 1. So, there LCM is their product i.e 4773312

Least Common Multiple of 576,8287 with GCF Formula

Least Common Multiple of 576,8287 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 576,8287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(576,8287) = 1

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

GCF(576,8287) x common factors =1 x 1 = 1

LCM(576,8287) = ( 576 × 8287 ) / 1

LCM(576,8287) = 4773312 / 1

LCM(576,8287) = 4773312


Lets's calculate GCF of 870,229

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4773312/1

Therefore the LCM of Fractions 576/870,8287/229 is 4773312

Greatest Common Factor of 870,229 By Matching Biggest Common Factor Method

Greatest Common Factor of 870,229 By Matching Biggest Common Factor Method

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Greatest Common Factor

We found the factors 870,229 . The biggest common factor number is the GCF number.
So the greatest common factor 870,229 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 576/870, 8287/229

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 576/870, 8287/229?

Answer: LCM of Numerators as per given numbers 576/870, 8287/229 is

LCM of Numerators i.e. for 576,8287 is 4773312

GCF of denominators i.e. for 870,229 is 1.

Thus, LCM of Fractions is 4773312.Finally, LCM of Fractions for 576/870, 8287/229 is 4773312.