Least Common Multiple of 861/288, 683/555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 861/288, 683/555 quickly i.e. 196021 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 861/288, 683/555 is 196021.

LCM(861/288, 683/555) = 196021

LCM of 861/288, 683/555

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 861/288,683/555

Given numbers are 861/288,683/555

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 861,683

Least Common Multiple of Numerators i.e. LCM of 861,683 is 588063.

GCF of Denominators means GCF of 288,555 as per the given fractions.

GCF of 288,555 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 861,683

LCM of Fractions 861/288,683/555 is 196021

Given numbers has no common factors except 1. So, there LCM is their product i.e 588063

Least Common Multiple of 861,683 with GCF Formula

Least Common Multiple of 861,683 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 861,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(861,683) = 1

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

GCF(861,683) x common factors =1 x 1 = 1

LCM(861,683) = ( 861 × 683 ) / 1

LCM(861,683) = 588063 / 1

LCM(861,683) = 588063


Lets's calculate GCF of 288,555

3 288, 555
96, 185

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 588063/3

Therefore the LCM of Fractions 861/288,683/555 is 196021

Greatest Common Factor of 288,555 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,555 By Matching Biggest Common Factor Method

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Greatest Common Factor

We found the factors 288,555 . The biggest common factor number is the GCF number.
So the greatest common factor 288,555 is 3.


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 861/288, 683/555

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 861/288, 683/555?

Answer: LCM of Numerators as per given numbers 861/288, 683/555 is

LCM of Numerators i.e. for 861,683 is 588063

GCF of denominators i.e. for 288,555 is 3.

Thus, LCM of Fractions is 196021.Finally, LCM of Fractions for 861/288, 683/555 is 196021.