Least Common Multiple of 6740/466, 4584/7399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6740/466, 4584/7399 quickly i.e. 7724040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6740/466, 4584/7399 is 7724040.

LCM(6740/466, 4584/7399) = 7724040

LCM of 6740/466, 4584/7399

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 6740/466,4584/7399

Given numbers are 6740/466,4584/7399

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 6740,4584

Least Common Multiple of Numerators i.e. LCM of 6740,4584 is 7724040.

GCF of Denominators means GCF of 466,7399 as per the given fractions.

GCF of 466,7399 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6740,4584

LCM of Fractions 6740/466,4584/7399 is 7724040

2 6740, 4584
2 3370, 2292
1685, 1146

∴ So the LCM of the given numbers is 2 x 2 x 1685 x 1146 = 7724040

Least Common Multiple of 6740,4584 with GCF Formula

Least Common Multiple of 6740,4584 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 6740,4584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6740,4584) = 4

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

GCF(6740,4584) x common factors =4 x 1 = 4

LCM(6740,4584) = ( 6740 × 4584 ) / 4

LCM(6740,4584) = 30896160 / 4

LCM(6740,4584) = 7724040


Lets's calculate GCF of 466,7399

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7724040/1

Therefore the LCM of Fractions 6740/466,4584/7399 is 7724040

Greatest Common Factor of 466,7399 By Matching Biggest Common Factor Method

Greatest Common Factor of 466,7399 By Matching Biggest Common Factor Method

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 7399

List of positive integer factors of 7399 that divides 7399 without a remainder.

1,7,49,151,1057,7399

Greatest Common Factor

We found the factors 466,7399 . The biggest common factor number is the GCF number.
So the greatest common factor 466,7399 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 6740/466, 4584/7399

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 6740/466, 4584/7399?

Answer: LCM of Numerators as per given numbers 6740/466, 4584/7399 is

LCM of Numerators i.e. for 6740,4584 is 7724040

GCF of denominators i.e. for 466,7399 is 1.

Thus, LCM of Fractions is 7724040.Finally, LCM of Fractions for 6740/466, 4584/7399 is 7724040.