Least Common Multiple of 439/71, 545/64, 859/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 439/71, 545/64, 859/286 quickly i.e. 205520045 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 439/71, 545/64, 859/286 is 205520045.

LCM(439/71, 545/64, 859/286) = 205520045

LCM of 439/71, 545/64, 859/286

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 439/71,545/64,859/286

Given numbers are 439/71,545/64,859/286

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 439,545,859

Least Common Multiple of Numerators i.e. LCM of 439,545,859 is 205520045.

GCF of Denominators means GCF of 71,64,286 as per the given fractions.

GCF of 71,64,286 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 439,545,859

LCM of Fractions 439/71,545/64,859/286 is 205520045

Given numbers has no common factors except 1. So, there LCM is their product i.e 205520045

Least Common Multiple of 439,545,859 with GCF Formula

Least Common Multiple of 439,545,859 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 439,545,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(439,545,859) = 1

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

GCF(439,545,859) x common factors =1 x 1 = 1

LCM(439,545,859) = ( 439 × 545 × 859 ) / 1

LCM(439,545,859) = 205520045 / 1

LCM(439,545,859) = 205520045


Lets's calculate GCF of 71,64,286

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 205520045/1

Therefore the LCM of Fractions 439/71,545/64,859/286 is 205520045

Greatest Common Factor of 71,64,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,64,286 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 71,64,286 . The biggest common factor number is the GCF number.
So the greatest common factor 71,64,286 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 439/71, 545/64, 859/286

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 439/71, 545/64, 859/286?

Answer: LCM of Numerators as per given numbers 439/71, 545/64, 859/286 is

LCM of Numerators i.e. for 439,545,859 is 205520045

GCF of denominators i.e. for 71,64,286 is 1.

Thus, LCM of Fractions is 205520045.Finally, LCM of Fractions for 439/71, 545/64, 859/286 is 205520045.