Least Common Multiple of 71/533, 89/914, 259/439

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/533, 89/914, 259/439 quickly i.e. 1636621 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/533, 89/914, 259/439 is 1636621.

LCM(71/533, 89/914, 259/439) = 1636621

LCM of 71/533, 89/914, 259/439

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 71/533,89/914,259/439

Given numbers are 71/533,89/914,259/439

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 71,89,259

Least Common Multiple of Numerators i.e. LCM of 71,89,259 is 1636621.

GCF of Denominators means GCF of 533,914,439 as per the given fractions.

GCF of 533,914,439 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,89,259

LCM of Fractions 71/533,89/914,259/439 is 1636621

Given numbers has no common factors except 1. So, there LCM is their product i.e 1636621

Least Common Multiple of 71,89,259 with GCF Formula

Least Common Multiple of 71,89,259 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 71,89,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,89,259) = 1

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

GCF(71,89,259) x common factors =1 x 1 = 1

LCM(71,89,259) = ( 71 × 89 × 259 ) / 1

LCM(71,89,259) = 1636621 / 1

LCM(71,89,259) = 1636621


Lets's calculate GCF of 533,914,439

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1636621/1

Therefore the LCM of Fractions 71/533,89/914,259/439 is 1636621

Greatest Common Factor of 533,914,439 By Matching Biggest Common Factor Method

Greatest Common Factor of 533,914,439 By Matching Biggest Common Factor Method

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Factors of 439

List of positive integer factors of 439 that divides 439 without a remainder.

1,439

Greatest Common Factor

We found the factors 533,914,439 . The biggest common factor number is the GCF number.
So the greatest common factor 533,914,439 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 71/533, 89/914, 259/439

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 71/533, 89/914, 259/439?

Answer: LCM of Numerators as per given numbers 71/533, 89/914, 259/439 is

LCM of Numerators i.e. for 71,89,259 is 1636621

GCF of denominators i.e. for 533,914,439 is 1.

Thus, LCM of Fractions is 1636621.Finally, LCM of Fractions for 71/533, 89/914, 259/439 is 1636621.