Least Common Multiple of 876/73, 205/10, 611/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 876/73, 205/10, 611/143 quickly i.e. 109723380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 876/73, 205/10, 611/143 is 109723380.

LCM(876/73, 205/10, 611/143) = 109723380

LCM of 876/73, 205/10, 611/143

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 876/73,205/10,611/143

Given numbers are 876/73,205/10,611/143

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 876,205,611

Least Common Multiple of Numerators i.e. LCM of 876,205,611 is 109723380.

GCF of Denominators means GCF of 73,10,143 as per the given fractions.

GCF of 73,10,143 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 876,205,611

LCM of Fractions 876/73,205/10,611/143 is 109723380

Given numbers has no common factors except 1. So, there LCM is their product i.e 109723380

Least Common Multiple of 876,205,611 with GCF Formula

Least Common Multiple of 876,205,611 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 876,205,611 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(876,205,611) = 1

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

GCF(876,205,611) x common factors =1 x 1 = 1

LCM(876,205,611) = ( 876 × 205 × 611 ) / 1

LCM(876,205,611) = 109723380 / 1

LCM(876,205,611) = 109723380


Lets's calculate GCF of 73,10,143

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109723380/1

Therefore the LCM of Fractions 876/73,205/10,611/143 is 109723380

Greatest Common Factor of 73,10,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,10,143 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Greatest Common Factor

We found the factors 73,10,143 . The biggest common factor number is the GCF number.
So the greatest common factor 73,10,143 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 876/73, 205/10, 611/143

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 876/73, 205/10, 611/143?

Answer: LCM of Numerators as per given numbers 876/73, 205/10, 611/143 is

LCM of Numerators i.e. for 876,205,611 is 109723380

GCF of denominators i.e. for 73,10,143 is 1.

Thus, LCM of Fractions is 109723380.Finally, LCM of Fractions for 876/73, 205/10, 611/143 is 109723380.