Least Common Multiple of 3464/716, 5774/4413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3464/716, 5774/4413 quickly i.e. 10000568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3464/716, 5774/4413 is 10000568.

LCM(3464/716, 5774/4413) = 10000568

LCM of 3464/716, 5774/4413

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 3464/716,5774/4413

Given numbers are 3464/716,5774/4413

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 3464,5774

Least Common Multiple of Numerators i.e. LCM of 3464,5774 is 10000568.

GCF of Denominators means GCF of 716,4413 as per the given fractions.

GCF of 716,4413 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3464,5774

LCM of Fractions 3464/716,5774/4413 is 10000568

2 3464, 5774
1732, 2887

∴ So the LCM of the given numbers is 2 x 1732 x 2887 = 10000568

Least Common Multiple of 3464,5774 with GCF Formula

Least Common Multiple of 3464,5774 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 3464,5774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3464,5774) = 2

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

GCF(3464,5774) x common factors =2 x 1 = 2

LCM(3464,5774) = ( 3464 × 5774 ) / 2

LCM(3464,5774) = 20001136 / 2

LCM(3464,5774) = 10000568


Lets's calculate GCF of 716,4413

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10000568/1

Therefore the LCM of Fractions 3464/716,5774/4413 is 10000568

Greatest Common Factor of 716,4413 By Matching Biggest Common Factor Method

Greatest Common Factor of 716,4413 By Matching Biggest Common Factor Method

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Factors of 4413

List of positive integer factors of 4413 that divides 4413 without a remainder.

1,3,1471,4413

Greatest Common Factor

We found the factors 716,4413 . The biggest common factor number is the GCF number.
So the greatest common factor 716,4413 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 3464/716, 5774/4413

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 3464/716, 5774/4413?

Answer: LCM of Numerators as per given numbers 3464/716, 5774/4413 is

LCM of Numerators i.e. for 3464,5774 is 10000568

GCF of denominators i.e. for 716,4413 is 1.

Thus, LCM of Fractions is 10000568.Finally, LCM of Fractions for 3464/716, 5774/4413 is 10000568.