Least Common Multiple of 33/71, 739/44, 859/259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/71, 739/44, 859/259 quickly i.e. 20948433 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/71, 739/44, 859/259 is 20948433.

LCM(33/71, 739/44, 859/259) = 20948433

LCM of 33/71, 739/44, 859/259

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 33/71,739/44,859/259

Given numbers are 33/71,739/44,859/259

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 33,739,859

Least Common Multiple of Numerators i.e. LCM of 33,739,859 is 20948433.

GCF of Denominators means GCF of 71,44,259 as per the given fractions.

GCF of 71,44,259 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,739,859

LCM of Fractions 33/71,739/44,859/259 is 20948433

Given numbers has no common factors except 1. So, there LCM is their product i.e 20948433

Least Common Multiple of 33,739,859 with GCF Formula

Least Common Multiple of 33,739,859 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 33,739,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,739,859) = 1

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

GCF(33,739,859) x common factors =1 x 1 = 1

LCM(33,739,859) = ( 33 × 739 × 859 ) / 1

LCM(33,739,859) = 20948433 / 1

LCM(33,739,859) = 20948433


Lets's calculate GCF of 71,44,259

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20948433/1

Therefore the LCM of Fractions 33/71,739/44,859/259 is 20948433

Greatest Common Factor of 71,44,259 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,44,259 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 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Greatest Common Factor

We found the factors 71,44,259 . The biggest common factor number is the GCF number.
So the greatest common factor 71,44,259 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 33/71, 739/44, 859/259

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 33/71, 739/44, 859/259?

Answer: LCM of Numerators as per given numbers 33/71, 739/44, 859/259 is

LCM of Numerators i.e. for 33,739,859 is 20948433

GCF of denominators i.e. for 71,44,259 is 1.

Thus, LCM of Fractions is 20948433.Finally, LCM of Fractions for 33/71, 739/44, 859/259 is 20948433.