Least Common Multiple of 5342/706, 7470/2089

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5342/706, 7470/2089 quickly i.e. 19952370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5342/706, 7470/2089 is 19952370.

LCM(5342/706, 7470/2089) = 19952370

LCM of 5342/706, 7470/2089

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 5342/706,7470/2089

Given numbers are 5342/706,7470/2089

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 5342,7470

Least Common Multiple of Numerators i.e. LCM of 5342,7470 is 19952370.

GCF of Denominators means GCF of 706,2089 as per the given fractions.

GCF of 706,2089 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5342,7470

LCM of Fractions 5342/706,7470/2089 is 19952370

2 5342, 7470
2671, 3735

∴ So the LCM of the given numbers is 2 x 2671 x 3735 = 19952370

Least Common Multiple of 5342,7470 with GCF Formula

Least Common Multiple of 5342,7470 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 5342,7470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5342,7470) = 2

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

GCF(5342,7470) x common factors =2 x 1 = 2

LCM(5342,7470) = ( 5342 × 7470 ) / 2

LCM(5342,7470) = 39904740 / 2

LCM(5342,7470) = 19952370


Lets's calculate GCF of 706,2089

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19952370/1

Therefore the LCM of Fractions 5342/706,7470/2089 is 19952370

Greatest Common Factor of 706,2089 By Matching Biggest Common Factor Method

Greatest Common Factor of 706,2089 By Matching Biggest Common Factor Method

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 2089

List of positive integer factors of 2089 that divides 2089 without a remainder.

1,2089

Greatest Common Factor

We found the factors 706,2089 . The biggest common factor number is the GCF number.
So the greatest common factor 706,2089 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 5342/706, 7470/2089

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 5342/706, 7470/2089?

Answer: LCM of Numerators as per given numbers 5342/706, 7470/2089 is

LCM of Numerators i.e. for 5342,7470 is 19952370

GCF of denominators i.e. for 706,2089 is 1.

Thus, LCM of Fractions is 19952370.Finally, LCM of Fractions for 5342/706, 7470/2089 is 19952370.