Least Common Multiple of 5694/606, 5564/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5694/606, 5564/794 quickly i.e. 609258 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5694/606, 5564/794 is 609258.

LCM(5694/606, 5564/794) = 609258

LCM of 5694/606, 5564/794

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 5694/606,5564/794

Given numbers are 5694/606,5564/794

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 5694,5564

Least Common Multiple of Numerators i.e. LCM of 5694,5564 is 1218516.

GCF of Denominators means GCF of 606,794 as per the given fractions.

GCF of 606,794 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5694,5564

LCM of Fractions 5694/606,5564/794 is 609258

2 5694, 5564
13 2847, 2782
219, 214

∴ So the LCM of the given numbers is 2 x 13 x 219 x 214 = 1218516

Least Common Multiple of 5694,5564 with GCF Formula

Least Common Multiple of 5694,5564 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 5694,5564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5694,5564) = 26

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

GCF(5694,5564) x common factors =26 x 1 = 26

LCM(5694,5564) = ( 5694 × 5564 ) / 26

LCM(5694,5564) = 31681416 / 26

LCM(5694,5564) = 1218516


Lets's calculate GCF of 606,794

2 606, 794
303, 397

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1218516/2

Therefore the LCM of Fractions 5694/606,5564/794 is 609258

Greatest Common Factor of 606,794 By Matching Biggest Common Factor Method

Greatest Common Factor of 606,794 By Matching Biggest Common Factor Method

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Greatest Common Factor

We found the factors 606,794 . The biggest common factor number is the GCF number.
So the greatest common factor 606,794 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 5694/606, 5564/794

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 5694/606, 5564/794?

Answer: LCM of Numerators as per given numbers 5694/606, 5564/794 is

LCM of Numerators i.e. for 5694,5564 is 1218516

GCF of denominators i.e. for 606,794 is 2.

Thus, LCM of Fractions is 609258.Finally, LCM of Fractions for 5694/606, 5564/794 is 609258.