Least Common Multiple of 3694/294, 1423/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3694/294, 1423/507 quickly i.e. 5256562/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3694/294, 1423/507 is 5256562/3.

LCM(3694/294, 1423/507) = 5256562/3

LCM of 3694/294, 1423/507

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 3694/294,1423/507

Given numbers are 3694/294,1423/507

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 3694,1423

Least Common Multiple of Numerators i.e. LCM of 3694,1423 is 5256562.

GCF of Denominators means GCF of 294,507 as per the given fractions.

GCF of 294,507 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3694,1423

LCM of Fractions 3694/294,1423/507 is 5256562/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 5256562

Least Common Multiple of 3694,1423 with GCF Formula

Least Common Multiple of 3694,1423 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 3694,1423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3694,1423) = 1

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

GCF(3694,1423) x common factors =1 x 1 = 1

LCM(3694,1423) = ( 3694 × 1423 ) / 1

LCM(3694,1423) = 5256562 / 1

LCM(3694,1423) = 5256562


Lets's calculate GCF of 294,507

3 294, 507
98, 169

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5256562/3

Therefore the LCM of Fractions 3694/294,1423/507 is 5256562/3

Greatest Common Factor of 294,507 By Matching Biggest Common Factor Method

Greatest Common Factor of 294,507 By Matching Biggest Common Factor Method

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Greatest Common Factor

We found the factors 294,507 . The biggest common factor number is the GCF number.
So the greatest common factor 294,507 is 3.


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 3694/294, 1423/507

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 3694/294, 1423/507?

Answer: LCM of Numerators as per given numbers 3694/294, 1423/507 is

LCM of Numerators i.e. for 3694,1423 is 5256562

GCF of denominators i.e. for 294,507 is 3.

Thus, LCM of Fractions is 5256562/3.Finally, LCM of Fractions for 3694/294, 1423/507 is 5256562/3.