Least Common Multiple of 809/43, 398/61, 658/12

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 809/43, 398/61, 658/12 quickly i.e. 105932078 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 809/43, 398/61, 658/12 is 105932078.

LCM(809/43, 398/61, 658/12) = 105932078

LCM of 809/43, 398/61, 658/12

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 809/43,398/61,658/12

Given numbers are 809/43,398/61,658/12

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 809,398,658

Least Common Multiple of Numerators i.e. LCM of 809,398,658 is 105932078.

GCF of Denominators means GCF of 43,61,12 as per the given fractions.

GCF of 43,61,12 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 809,398,658

LCM of Fractions 809/43,398/61,658/12 is 105932078

2 809, 398, 658
809, 199, 329

∴ So the LCM of the given numbers is 2 x 809 x 199 x 329 = 105932078

Least Common Multiple of 809,398,658 with GCF Formula

Least Common Multiple of 809,398,658 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 809,398,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(809,398,658) = 1

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

GCF(809,398,658) x common factors =1 x 2 = 2

LCM(809,398,658) = ( 809 × 398 × 658 ) / 2

LCM(809,398,658) = 211864156 / 2

LCM(809,398,658) = 105932078


Lets's calculate GCF of 43,61,12

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105932078/1

Therefore the LCM of Fractions 809/43,398/61,658/12 is 105932078

Greatest Common Factor of 43,61,12 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,61,12 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Greatest Common Factor

We found the factors 43,61,12 . The biggest common factor number is the GCF number.
So the greatest common factor 43,61,12 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 809/43, 398/61, 658/12

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 809/43, 398/61, 658/12?

Answer: LCM of Numerators as per given numbers 809/43, 398/61, 658/12 is

LCM of Numerators i.e. for 809,398,658 is 105932078

GCF of denominators i.e. for 43,61,12 is 1.

Thus, LCM of Fractions is 105932078.Finally, LCM of Fractions for 809/43, 398/61, 658/12 is 105932078.