Least Common Multiple of 178/689, 129/760, 843/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 178/689, 129/760, 843/861 quickly i.e. 6452322 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 178/689, 129/760, 843/861 is 6452322.

LCM(178/689, 129/760, 843/861) = 6452322

LCM of 178/689, 129/760, 843/861

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 178/689,129/760,843/861

Given numbers are 178/689,129/760,843/861

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 178,129,843

Least Common Multiple of Numerators i.e. LCM of 178,129,843 is 6452322.

GCF of Denominators means GCF of 689,760,861 as per the given fractions.

GCF of 689,760,861 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 178,129,843

LCM of Fractions 178/689,129/760,843/861 is 6452322

3 178, 129, 843
178, 43, 281

∴ So the LCM of the given numbers is 3 x 178 x 43 x 281 = 6452322

Least Common Multiple of 178,129,843 with GCF Formula

Least Common Multiple of 178,129,843 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 178,129,843 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(178,129,843) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(178,129,843) x common factors =1 x 3 = 3

LCM(178,129,843) = ( 178 × 129 × 843 ) / 3

LCM(178,129,843) = 19356966 / 3

LCM(178,129,843) = 6452322


Lets's calculate GCF of 689,760,861

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6452322/1

Therefore the LCM of Fractions 178/689,129/760,843/861 is 6452322

Greatest Common Factor of 689,760,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,760,861 By Matching Biggest Common Factor Method

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 689,760,861 . The biggest common factor number is the GCF number.
So the greatest common factor 689,760,861 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 178/689, 129/760, 843/861

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 178/689, 129/760, 843/861?

Answer: LCM of Numerators as per given numbers 178/689, 129/760, 843/861 is

LCM of Numerators i.e. for 178,129,843 is 6452322

GCF of denominators i.e. for 689,760,861 is 1.

Thus, LCM of Fractions is 6452322.Finally, LCM of Fractions for 178/689, 129/760, 843/861 is 6452322.