Least Common Multiple of 1398/580, 1146/886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1398/580, 1146/886 quickly i.e. 133509 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1398/580, 1146/886 is 133509.

LCM(1398/580, 1146/886) = 133509

LCM of 1398/580, 1146/886

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 1398/580,1146/886

Given numbers are 1398/580,1146/886

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 1398,1146

Least Common Multiple of Numerators i.e. LCM of 1398,1146 is 267018.

GCF of Denominators means GCF of 580,886 as per the given fractions.

GCF of 580,886 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1398,1146

LCM of Fractions 1398/580,1146/886 is 133509

2 1398, 1146
3 699, 573
233, 191

∴ So the LCM of the given numbers is 2 x 3 x 233 x 191 = 267018

Least Common Multiple of 1398,1146 with GCF Formula

Least Common Multiple of 1398,1146 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 1398,1146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1398,1146) = 6

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

GCF(1398,1146) x common factors =6 x 1 = 6

LCM(1398,1146) = ( 1398 × 1146 ) / 6

LCM(1398,1146) = 1602108 / 6

LCM(1398,1146) = 267018


Lets's calculate GCF of 580,886

2 580, 886
290, 443

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 267018/2

Therefore the LCM of Fractions 1398/580,1146/886 is 133509

Greatest Common Factor of 580,886 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,886 By Matching Biggest Common Factor Method

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Greatest Common Factor

We found the factors 580,886 . The biggest common factor number is the GCF number.
So the greatest common factor 580,886 is 2.


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 1398/580, 1146/886

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 1398/580, 1146/886?

Answer: LCM of Numerators as per given numbers 1398/580, 1146/886 is

LCM of Numerators i.e. for 1398,1146 is 267018

GCF of denominators i.e. for 580,886 is 2.

Thus, LCM of Fractions is 133509.Finally, LCM of Fractions for 1398/580, 1146/886 is 133509.