Least Common Multiple of 91/27, 34/44, 45/18, 217/82

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/27, 34/44, 45/18, 217/82 quickly i.e. 4316130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/27, 34/44, 45/18, 217/82 is 4316130.

LCM(91/27, 34/44, 45/18, 217/82) = 4316130

LCM of 91/27, 34/44, 45/18, 217/82

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 91/27,34/44,45/18,217/82

Given numbers are 91/27,34/44,45/18,217/82

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 91,34,45,217

Least Common Multiple of Numerators i.e. LCM of 91,34,45,217 is 4316130.

GCF of Denominators means GCF of 27,44,18,82 as per the given fractions.

GCF of 27,44,18,82 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,34,45,217

LCM of Fractions 91/27,34/44,45/18,217/82 is 4316130

7 91, 34, 45, 217
13, 34, 45, 31

∴ So the LCM of the given numbers is 7 x 13 x 34 x 45 x 31 = 4316130

Least Common Multiple of 91,34,45,217 with GCF Formula

Least Common Multiple of 91,34,45,217 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 91,34,45,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,34,45,217) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(91,34,45,217) x common factors =1 x 7 = 7

LCM(91,34,45,217) = ( 91 × 34 × 45 × 217 ) / 7

LCM(91,34,45,217) = 30212910 / 7

LCM(91,34,45,217) = 4316130


Lets's calculate GCF of 27,44,18,82

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4316130/1

Therefore the LCM of Fractions 91/27,34/44,45/18,217/82 is 4316130

Greatest Common Factor of 27,44,18,82 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,44,18,82 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 44

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

1,2,4,11,22,44

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Greatest Common Factor

We found the factors 27,44,18,82 . The biggest common factor number is the GCF number.
So the greatest common factor 27,44,18,82 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 91/27, 34/44, 45/18, 217/82

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 91/27, 34/44, 45/18, 217/82?

Answer: LCM of Numerators as per given numbers 91/27, 34/44, 45/18, 217/82 is

LCM of Numerators i.e. for 91,34,45,217 is 4316130

GCF of denominators i.e. for 27,44,18,82 is 1.

Thus, LCM of Fractions is 4316130.Finally, LCM of Fractions for 91/27, 34/44, 45/18, 217/82 is 4316130.