Least Common Multiple of 785/600, 126/108, 866/863

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 785/600, 126/108, 866/863 quickly i.e. 42828030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 785/600, 126/108, 866/863 is 42828030.

LCM(785/600, 126/108, 866/863) = 42828030

LCM of 785/600, 126/108, 866/863

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 785/600,126/108,866/863

Given numbers are 785/600,126/108,866/863

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 785,126,866

Least Common Multiple of Numerators i.e. LCM of 785,126,866 is 42828030.

GCF of Denominators means GCF of 600,108,863 as per the given fractions.

GCF of 600,108,863 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 785,126,866

LCM of Fractions 785/600,126/108,866/863 is 42828030

2 785, 126, 866
785, 63, 433

∴ So the LCM of the given numbers is 2 x 785 x 63 x 433 = 42828030

Least Common Multiple of 785,126,866 with GCF Formula

Least Common Multiple of 785,126,866 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 785,126,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(785,126,866) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(785,126,866) x common factors =1 x 2 = 2

LCM(785,126,866) = ( 785 × 126 × 866 ) / 2

LCM(785,126,866) = 85656060 / 2

LCM(785,126,866) = 42828030


Lets's calculate GCF of 600,108,863

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42828030/1

Therefore the LCM of Fractions 785/600,126/108,866/863 is 42828030

Greatest Common Factor of 600,108,863 By Matching Biggest Common Factor Method

Greatest Common Factor of 600,108,863 By Matching Biggest Common Factor Method

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 863

List of positive integer factors of 863 that divides 863 without a remainder.

1,863

Greatest Common Factor

We found the factors 600,108,863 . The biggest common factor number is the GCF number.
So the greatest common factor 600,108,863 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 785/600, 126/108, 866/863

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 785/600, 126/108, 866/863?

Answer: LCM of Numerators as per given numbers 785/600, 126/108, 866/863 is

LCM of Numerators i.e. for 785,126,866 is 42828030

GCF of denominators i.e. for 600,108,863 is 1.

Thus, LCM of Fractions is 42828030.Finally, LCM of Fractions for 785/600, 126/108, 866/863 is 42828030.