Least Common Multiple of 3694/679, 1722/194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3694/679, 1722/194 quickly i.e. 3180534/97 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3694/679, 1722/194 is 3180534/97.

LCM(3694/679, 1722/194) = 3180534/97

LCM of 3694/679, 1722/194

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 3694/679,1722/194

Given numbers are 3694/679,1722/194

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 3694,1722

Least Common Multiple of Numerators i.e. LCM of 3694,1722 is 3180534.

GCF of Denominators means GCF of 679,194 as per the given fractions.

GCF of 679,194 is 97 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3694,1722

LCM of Fractions 3694/679,1722/194 is 3180534/97

2 3694, 1722
1847, 861

∴ So the LCM of the given numbers is 2 x 1847 x 861 = 3180534

Least Common Multiple of 3694,1722 with GCF Formula

Least Common Multiple of 3694,1722 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 3694,1722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3694,1722) = 2

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

GCF(3694,1722) x common factors =2 x 1 = 2

LCM(3694,1722) = ( 3694 × 1722 ) / 2

LCM(3694,1722) = 6361068 / 2

LCM(3694,1722) = 3180534


Lets's calculate GCF of 679,194

97 679, 194
7, 2

∴ So the GCF of the given numbers is 97 = 97

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3180534/97

Therefore the LCM of Fractions 3694/679,1722/194 is 3180534/97

Greatest Common Factor of 679,194 By Matching Biggest Common Factor Method

Greatest Common Factor of 679,194 By Matching Biggest Common Factor Method

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Greatest Common Factor

We found the factors 679,194 . The biggest common factor number is the GCF number.
So the greatest common factor 679,194 is 97.


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 3694/679, 1722/194

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 3694/679, 1722/194?

Answer: LCM of Numerators as per given numbers 3694/679, 1722/194 is

LCM of Numerators i.e. for 3694,1722 is 3180534

GCF of denominators i.e. for 679,194 is 97.

Thus, LCM of Fractions is 3180534/97.Finally, LCM of Fractions for 3694/679, 1722/194 is 3180534/97.