Least Common Multiple of 513/694, 7741/4592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 513/694, 7741/4592 quickly i.e. 3971133/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 513/694, 7741/4592 is 3971133/2.

LCM(513/694, 7741/4592) = 3971133/2

LCM of 513/694, 7741/4592

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 513/694,7741/4592

Given numbers are 513/694,7741/4592

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 513,7741

Least Common Multiple of Numerators i.e. LCM of 513,7741 is 3971133.

GCF of Denominators means GCF of 694,4592 as per the given fractions.

GCF of 694,4592 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 513,7741

LCM of Fractions 513/694,7741/4592 is 3971133/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 3971133

Least Common Multiple of 513,7741 with GCF Formula

Least Common Multiple of 513,7741 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 513,7741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(513,7741) = 1

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

GCF(513,7741) x common factors =1 x 1 = 1

LCM(513,7741) = ( 513 × 7741 ) / 1

LCM(513,7741) = 3971133 / 1

LCM(513,7741) = 3971133


Lets's calculate GCF of 694,4592

2 694, 4592
347, 2296

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3971133/2

Therefore the LCM of Fractions 513/694,7741/4592 is 3971133/2

Greatest Common Factor of 694,4592 By Matching Biggest Common Factor Method

Greatest Common Factor of 694,4592 By Matching Biggest Common Factor Method

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Factors of 4592

List of positive integer factors of 4592 that divides 4592 without a remainder.

1,2,4,7,8,14,16,28,41,56,82,112,164,287,328,574,656,1148,2296,4592

Greatest Common Factor

We found the factors 694,4592 . The biggest common factor number is the GCF number.
So the greatest common factor 694,4592 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 513/694, 7741/4592

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 513/694, 7741/4592?

Answer: LCM of Numerators as per given numbers 513/694, 7741/4592 is

LCM of Numerators i.e. for 513,7741 is 3971133

GCF of denominators i.e. for 694,4592 is 2.

Thus, LCM of Fractions is 3971133/2.Finally, LCM of Fractions for 513/694, 7741/4592 is 3971133/2.