Least Common Multiple of 5714/334, 7478/6770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5714/334, 7478/6770 quickly i.e. 10682323 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5714/334, 7478/6770 is 10682323.

LCM(5714/334, 7478/6770) = 10682323

LCM of 5714/334, 7478/6770

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 5714/334,7478/6770

Given numbers are 5714/334,7478/6770

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 5714,7478

Least Common Multiple of Numerators i.e. LCM of 5714,7478 is 21364646.

GCF of Denominators means GCF of 334,6770 as per the given fractions.

GCF of 334,6770 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5714,7478

LCM of Fractions 5714/334,7478/6770 is 10682323

2 5714, 7478
2857, 3739

∴ So the LCM of the given numbers is 2 x 2857 x 3739 = 21364646

Least Common Multiple of 5714,7478 with GCF Formula

Least Common Multiple of 5714,7478 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 5714,7478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5714,7478) = 2

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

GCF(5714,7478) x common factors =2 x 1 = 2

LCM(5714,7478) = ( 5714 × 7478 ) / 2

LCM(5714,7478) = 42729292 / 2

LCM(5714,7478) = 21364646


Lets's calculate GCF of 334,6770

2 334, 6770
167, 3385

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21364646/2

Therefore the LCM of Fractions 5714/334,7478/6770 is 10682323

Greatest Common Factor of 334,6770 By Matching Biggest Common Factor Method

Greatest Common Factor of 334,6770 By Matching Biggest Common Factor Method

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Factors of 6770

List of positive integer factors of 6770 that divides 6770 without a remainder.

1,2,5,10,677,1354,3385,6770

Greatest Common Factor

We found the factors 334,6770 . The biggest common factor number is the GCF number.
So the greatest common factor 334,6770 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 5714/334, 7478/6770

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 5714/334, 7478/6770?

Answer: LCM of Numerators as per given numbers 5714/334, 7478/6770 is

LCM of Numerators i.e. for 5714,7478 is 21364646

GCF of denominators i.e. for 334,6770 is 2.

Thus, LCM of Fractions is 10682323.Finally, LCM of Fractions for 5714/334, 7478/6770 is 10682323.