Least Common Multiple of 831/518, 858/735, 814/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 831/518, 858/735, 814/123 quickly i.e. 8793642 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 831/518, 858/735, 814/123 is 8793642.

LCM(831/518, 858/735, 814/123) = 8793642

LCM of 831/518, 858/735, 814/123

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 831/518,858/735,814/123

Given numbers are 831/518,858/735,814/123

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 831,858,814

Least Common Multiple of Numerators i.e. LCM of 831,858,814 is 8793642.

GCF of Denominators means GCF of 518,735,123 as per the given fractions.

GCF of 518,735,123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 831,858,814

LCM of Fractions 831/518,858/735,814/123 is 8793642

2 831, 858, 814
3 831, 429, 407
11 277, 143, 407
277, 13, 37

∴ So the LCM of the given numbers is 2 x 3 x 11 x 277 x 13 x 37 = 8793642

Least Common Multiple of 831,858,814 with GCF Formula

Least Common Multiple of 831,858,814 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 831,858,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(831,858,814) = 1

common factors(in case of two or more numbers have common factors) = 66

GCF(831,858,814) x common factors =1 x 66 = 66

LCM(831,858,814) = ( 831 × 858 × 814 ) / 66

LCM(831,858,814) = 580380372 / 66

LCM(831,858,814) = 8793642


Lets's calculate GCF of 518,735,123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8793642/1

Therefore the LCM of Fractions 831/518,858/735,814/123 is 8793642

Greatest Common Factor of 518,735,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 518,735,123 By Matching Biggest Common Factor Method

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 518,735,123 . The biggest common factor number is the GCF number.
So the greatest common factor 518,735,123 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 831/518, 858/735, 814/123

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 831/518, 858/735, 814/123?

Answer: LCM of Numerators as per given numbers 831/518, 858/735, 814/123 is

LCM of Numerators i.e. for 831,858,814 is 8793642

GCF of denominators i.e. for 518,735,123 is 1.

Thus, LCM of Fractions is 8793642.Finally, LCM of Fractions for 831/518, 858/735, 814/123 is 8793642.