Least Common Multiple of 12/838, 68/582, 641/761

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/838, 68/582, 641/761 quickly i.e. 130764 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/838, 68/582, 641/761 is 130764.

LCM(12/838, 68/582, 641/761) = 130764

LCM of 12/838, 68/582, 641/761

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 12/838,68/582,641/761

Given numbers are 12/838,68/582,641/761

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 12,68,641

Least Common Multiple of Numerators i.e. LCM of 12,68,641 is 130764.

GCF of Denominators means GCF of 838,582,761 as per the given fractions.

GCF of 838,582,761 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,68,641

LCM of Fractions 12/838,68/582,641/761 is 130764

2 12, 68, 641
2 6, 34, 641
3, 17, 641

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 641 = 130764

Least Common Multiple of 12,68,641 with GCF Formula

Least Common Multiple of 12,68,641 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 12,68,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,68,641) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(12,68,641) x common factors =1 x 4 = 4

LCM(12,68,641) = ( 12 × 68 × 641 ) / 4

LCM(12,68,641) = 523056 / 4

LCM(12,68,641) = 130764


Lets's calculate GCF of 838,582,761

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 130764/1

Therefore the LCM of Fractions 12/838,68/582,641/761 is 130764

Greatest Common Factor of 838,582,761 By Matching Biggest Common Factor Method

Greatest Common Factor of 838,582,761 By Matching Biggest Common Factor Method

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Greatest Common Factor

We found the factors 838,582,761 . The biggest common factor number is the GCF number.
So the greatest common factor 838,582,761 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 12/838, 68/582, 641/761

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 12/838, 68/582, 641/761?

Answer: LCM of Numerators as per given numbers 12/838, 68/582, 641/761 is

LCM of Numerators i.e. for 12,68,641 is 130764

GCF of denominators i.e. for 838,582,761 is 1.

Thus, LCM of Fractions is 130764.Finally, LCM of Fractions for 12/838, 68/582, 641/761 is 130764.