Least Common Multiple of 3857/418, 1311/8355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3857/418, 1311/8355 quickly i.e. 266133 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3857/418, 1311/8355 is 266133.

LCM(3857/418, 1311/8355) = 266133

LCM of 3857/418, 1311/8355

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 3857/418,1311/8355

Given numbers are 3857/418,1311/8355

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 3857,1311

Least Common Multiple of Numerators i.e. LCM of 3857,1311 is 266133.

GCF of Denominators means GCF of 418,8355 as per the given fractions.

GCF of 418,8355 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3857,1311

LCM of Fractions 3857/418,1311/8355 is 266133

19 3857, 1311
203, 69

∴ So the LCM of the given numbers is 19 x 203 x 69 = 266133

Least Common Multiple of 3857,1311 with GCF Formula

Least Common Multiple of 3857,1311 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 3857,1311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3857,1311) = 19

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

GCF(3857,1311) x common factors =19 x 1 = 19

LCM(3857,1311) = ( 3857 × 1311 ) / 19

LCM(3857,1311) = 5056527 / 19

LCM(3857,1311) = 266133


Lets's calculate GCF of 418,8355

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 266133/1

Therefore the LCM of Fractions 3857/418,1311/8355 is 266133

Greatest Common Factor of 418,8355 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,8355 By Matching Biggest Common Factor Method

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 8355

List of positive integer factors of 8355 that divides 8355 without a remainder.

1,3,5,15,557,1671,2785,8355

Greatest Common Factor

We found the factors 418,8355 . The biggest common factor number is the GCF number.
So the greatest common factor 418,8355 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 3857/418, 1311/8355

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 3857/418, 1311/8355?

Answer: LCM of Numerators as per given numbers 3857/418, 1311/8355 is

LCM of Numerators i.e. for 3857,1311 is 266133

GCF of denominators i.e. for 418,8355 is 1.

Thus, LCM of Fractions is 266133.Finally, LCM of Fractions for 3857/418, 1311/8355 is 266133.