Least Common Multiple of 5694/578, 5116/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5694/578, 5116/572 quickly i.e. 7282626 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5694/578, 5116/572 is 7282626.

LCM(5694/578, 5116/572) = 7282626

LCM of 5694/578, 5116/572

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 5694/578,5116/572

Given numbers are 5694/578,5116/572

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 5694,5116

Least Common Multiple of Numerators i.e. LCM of 5694,5116 is 14565252.

GCF of Denominators means GCF of 578,572 as per the given fractions.

GCF of 578,572 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5694,5116

LCM of Fractions 5694/578,5116/572 is 7282626

2 5694, 5116
2847, 2558

∴ So the LCM of the given numbers is 2 x 2847 x 2558 = 14565252

Least Common Multiple of 5694,5116 with GCF Formula

Least Common Multiple of 5694,5116 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 5694,5116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5694,5116) = 2

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

GCF(5694,5116) x common factors =2 x 1 = 2

LCM(5694,5116) = ( 5694 × 5116 ) / 2

LCM(5694,5116) = 29130504 / 2

LCM(5694,5116) = 14565252


Lets's calculate GCF of 578,572

2 578, 572
289, 286

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14565252/2

Therefore the LCM of Fractions 5694/578,5116/572 is 7282626

Greatest Common Factor of 578,572 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,572 By Matching Biggest Common Factor Method

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Greatest Common Factor

We found the factors 578,572 . The biggest common factor number is the GCF number.
So the greatest common factor 578,572 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 5694/578, 5116/572

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 5694/578, 5116/572?

Answer: LCM of Numerators as per given numbers 5694/578, 5116/572 is

LCM of Numerators i.e. for 5694,5116 is 14565252

GCF of denominators i.e. for 578,572 is 2.

Thus, LCM of Fractions is 7282626.Finally, LCM of Fractions for 5694/578, 5116/572 is 7282626.