Least Common Multiple of 513/268, 7391/3440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 513/268, 7391/3440 quickly i.e. 199557/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 513/268, 7391/3440 is 199557/4.

LCM(513/268, 7391/3440) = 199557/4

LCM of 513/268, 7391/3440

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 513/268,7391/3440

Given numbers are 513/268,7391/3440

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 513,7391

Least Common Multiple of Numerators i.e. LCM of 513,7391 is 199557.

GCF of Denominators means GCF of 268,3440 as per the given fractions.

GCF of 268,3440 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 513,7391

LCM of Fractions 513/268,7391/3440 is 199557/4

19 513, 7391
27, 389

∴ So the LCM of the given numbers is 19 x 27 x 389 = 199557

Least Common Multiple of 513,7391 with GCF Formula

Least Common Multiple of 513,7391 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 513,7391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(513,7391) = 19

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

GCF(513,7391) x common factors =19 x 1 = 19

LCM(513,7391) = ( 513 × 7391 ) / 19

LCM(513,7391) = 3791583 / 19

LCM(513,7391) = 199557


Lets's calculate GCF of 268,3440

2 268, 3440
2 134, 1720
67, 860

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 199557/4

Therefore the LCM of Fractions 513/268,7391/3440 is 199557/4

Greatest Common Factor of 268,3440 By Matching Biggest Common Factor Method

Greatest Common Factor of 268,3440 By Matching Biggest Common Factor Method

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 3440

List of positive integer factors of 3440 that divides 3440 without a remainder.

1,2,4,5,8,10,16,20,40,43,80,86,172,215,344,430,688,860,1720,3440

Greatest Common Factor

We found the factors 268,3440 . The biggest common factor number is the GCF number.
So the greatest common factor 268,3440 is 4.


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 513/268, 7391/3440

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 513/268, 7391/3440?

Answer: LCM of Numerators as per given numbers 513/268, 7391/3440 is

LCM of Numerators i.e. for 513,7391 is 199557

GCF of denominators i.e. for 268,3440 is 4.

Thus, LCM of Fractions is 199557/4.Finally, LCM of Fractions for 513/268, 7391/3440 is 199557/4.