Least Common Multiple of 4406/720, 1376/5307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4406/720, 1376/5307 quickly i.e. 3031328/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4406/720, 1376/5307 is 3031328/3.

LCM(4406/720, 1376/5307) = 3031328/3

LCM of 4406/720, 1376/5307

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 4406/720,1376/5307

Given numbers are 4406/720,1376/5307

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 4406,1376

Least Common Multiple of Numerators i.e. LCM of 4406,1376 is 3031328.

GCF of Denominators means GCF of 720,5307 as per the given fractions.

GCF of 720,5307 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4406,1376

LCM of Fractions 4406/720,1376/5307 is 3031328/3

2 4406, 1376
2203, 688

∴ So the LCM of the given numbers is 2 x 2203 x 688 = 3031328

Least Common Multiple of 4406,1376 with GCF Formula

Least Common Multiple of 4406,1376 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 4406,1376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4406,1376) = 2

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

GCF(4406,1376) x common factors =2 x 1 = 2

LCM(4406,1376) = ( 4406 × 1376 ) / 2

LCM(4406,1376) = 6062656 / 2

LCM(4406,1376) = 3031328


Lets's calculate GCF of 720,5307

3 720, 5307
240, 1769

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3031328/3

Therefore the LCM of Fractions 4406/720,1376/5307 is 3031328/3

Greatest Common Factor of 720,5307 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,5307 By Matching Biggest Common Factor Method

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 5307

List of positive integer factors of 5307 that divides 5307 without a remainder.

1,3,29,61,87,183,1769,5307

Greatest Common Factor

We found the factors 720,5307 . The biggest common factor number is the GCF number.
So the greatest common factor 720,5307 is 3.


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 4406/720, 1376/5307

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 4406/720, 1376/5307?

Answer: LCM of Numerators as per given numbers 4406/720, 1376/5307 is

LCM of Numerators i.e. for 4406,1376 is 3031328

GCF of denominators i.e. for 720,5307 is 3.

Thus, LCM of Fractions is 3031328/3.Finally, LCM of Fractions for 4406/720, 1376/5307 is 3031328/3.