Least Common Multiple of 268/42, 771/8591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 268/42, 771/8591 quickly i.e. 206628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 268/42, 771/8591 is 206628.

LCM(268/42, 771/8591) = 206628

LCM of 268/42, 771/8591

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 268/42,771/8591

Given numbers are 268/42,771/8591

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 268,771

Least Common Multiple of Numerators i.e. LCM of 268,771 is 206628.

GCF of Denominators means GCF of 42,8591 as per the given fractions.

GCF of 42,8591 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 268,771

LCM of Fractions 268/42,771/8591 is 206628

Given numbers has no common factors except 1. So, there LCM is their product i.e 206628

Least Common Multiple of 268,771 with GCF Formula

Least Common Multiple of 268,771 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 268,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,771) = 1

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

GCF(268,771) x common factors =1 x 1 = 1

LCM(268,771) = ( 268 × 771 ) / 1

LCM(268,771) = 206628 / 1

LCM(268,771) = 206628


Lets's calculate GCF of 42,8591

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 206628/1

Therefore the LCM of Fractions 268/42,771/8591 is 206628

Greatest Common Factor of 42,8591 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,8591 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 8591

List of positive integer factors of 8591 that divides 8591 without a remainder.

1,11,71,121,781,8591

Greatest Common Factor

We found the factors 42,8591 . The biggest common factor number is the GCF number.
So the greatest common factor 42,8591 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 268/42, 771/8591

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 268/42, 771/8591?

Answer: LCM of Numerators as per given numbers 268/42, 771/8591 is

LCM of Numerators i.e. for 268,771 is 206628

GCF of denominators i.e. for 42,8591 is 1.

Thus, LCM of Fractions is 206628.Finally, LCM of Fractions for 268/42, 771/8591 is 206628.