Least Common Multiple of 335/857, 542/677, 289/208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 335/857, 542/677, 289/208 quickly i.e. 52473730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 335/857, 542/677, 289/208 is 52473730.

LCM(335/857, 542/677, 289/208) = 52473730

LCM of 335/857, 542/677, 289/208

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 335/857,542/677,289/208

Given numbers are 335/857,542/677,289/208

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 335,542,289

Least Common Multiple of Numerators i.e. LCM of 335,542,289 is 52473730.

GCF of Denominators means GCF of 857,677,208 as per the given fractions.

GCF of 857,677,208 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 335,542,289

LCM of Fractions 335/857,542/677,289/208 is 52473730

Given numbers has no common factors except 1. So, there LCM is their product i.e 52473730

Least Common Multiple of 335,542,289 with GCF Formula

Least Common Multiple of 335,542,289 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 335,542,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(335,542,289) = 1

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

GCF(335,542,289) x common factors =1 x 1 = 1

LCM(335,542,289) = ( 335 × 542 × 289 ) / 1

LCM(335,542,289) = 52473730 / 1

LCM(335,542,289) = 52473730


Lets's calculate GCF of 857,677,208

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52473730/1

Therefore the LCM of Fractions 335/857,542/677,289/208 is 52473730

Greatest Common Factor of 857,677,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 857,677,208 By Matching Biggest Common Factor Method

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 857,677,208 . The biggest common factor number is the GCF number.
So the greatest common factor 857,677,208 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 335/857, 542/677, 289/208

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 335/857, 542/677, 289/208?

Answer: LCM of Numerators as per given numbers 335/857, 542/677, 289/208 is

LCM of Numerators i.e. for 335,542,289 is 52473730

GCF of denominators i.e. for 857,677,208 is 1.

Thus, LCM of Fractions is 52473730.Finally, LCM of Fractions for 335/857, 542/677, 289/208 is 52473730.