Least Common Multiple of 71/115, 30/531, 229/217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/115, 30/531, 229/217 quickly i.e. 487770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/115, 30/531, 229/217 is 487770.

LCM(71/115, 30/531, 229/217) = 487770

LCM of 71/115, 30/531, 229/217

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 71/115,30/531,229/217

Given numbers are 71/115,30/531,229/217

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 71,30,229

Least Common Multiple of Numerators i.e. LCM of 71,30,229 is 487770.

GCF of Denominators means GCF of 115,531,217 as per the given fractions.

GCF of 115,531,217 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,30,229

LCM of Fractions 71/115,30/531,229/217 is 487770

Given numbers has no common factors except 1. So, there LCM is their product i.e 487770

Least Common Multiple of 71,30,229 with GCF Formula

Least Common Multiple of 71,30,229 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 71,30,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,30,229) = 1

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

GCF(71,30,229) x common factors =1 x 1 = 1

LCM(71,30,229) = ( 71 × 30 × 229 ) / 1

LCM(71,30,229) = 487770 / 1

LCM(71,30,229) = 487770


Lets's calculate GCF of 115,531,217

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 487770/1

Therefore the LCM of Fractions 71/115,30/531,229/217 is 487770

Greatest Common Factor of 115,531,217 By Matching Biggest Common Factor Method

Greatest Common Factor of 115,531,217 By Matching Biggest Common Factor Method

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Greatest Common Factor

We found the factors 115,531,217 . The biggest common factor number is the GCF number.
So the greatest common factor 115,531,217 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 71/115, 30/531, 229/217

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 71/115, 30/531, 229/217?

Answer: LCM of Numerators as per given numbers 71/115, 30/531, 229/217 is

LCM of Numerators i.e. for 71,30,229 is 487770

GCF of denominators i.e. for 115,531,217 is 1.

Thus, LCM of Fractions is 487770.Finally, LCM of Fractions for 71/115, 30/531, 229/217 is 487770.