Least Common Multiple of 268/517, 6928/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 268/517, 6928/375 quickly i.e. 464176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 268/517, 6928/375 is 464176.

LCM(268/517, 6928/375) = 464176

LCM of 268/517, 6928/375

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 268/517,6928/375

Given numbers are 268/517,6928/375

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 268,6928

Least Common Multiple of Numerators i.e. LCM of 268,6928 is 464176.

GCF of Denominators means GCF of 517,375 as per the given fractions.

GCF of 517,375 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 268,6928

LCM of Fractions 268/517,6928/375 is 464176

2 268, 6928
2 134, 3464
67, 1732

∴ So the LCM of the given numbers is 2 x 2 x 67 x 1732 = 464176

Least Common Multiple of 268,6928 with GCF Formula

Least Common Multiple of 268,6928 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 268,6928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,6928) = 4

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

GCF(268,6928) x common factors =4 x 1 = 4

LCM(268,6928) = ( 268 × 6928 ) / 4

LCM(268,6928) = 1856704 / 4

LCM(268,6928) = 464176


Lets's calculate GCF of 517,375

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 464176/1

Therefore the LCM of Fractions 268/517,6928/375 is 464176

Greatest Common Factor of 517,375 By Matching Biggest Common Factor Method

Greatest Common Factor of 517,375 By Matching Biggest Common Factor Method

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Greatest Common Factor

We found the factors 517,375 . The biggest common factor number is the GCF number.
So the greatest common factor 517,375 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 268/517, 6928/375

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 268/517, 6928/375?

Answer: LCM of Numerators as per given numbers 268/517, 6928/375 is

LCM of Numerators i.e. for 268,6928 is 464176

GCF of denominators i.e. for 517,375 is 1.

Thus, LCM of Fractions is 464176.Finally, LCM of Fractions for 268/517, 6928/375 is 464176.