Least Common Multiple of 3/86, 4/58, 36/27, 45/217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/86, 4/58, 36/27, 45/217 quickly i.e. 180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/86, 4/58, 36/27, 45/217 is 180.

LCM(3/86, 4/58, 36/27, 45/217) = 180

LCM of 3/86, 4/58, 36/27, 45/217

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 3/86,4/58,36/27,45/217

Given numbers are 3/86,4/58,36/27,45/217

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 3,4,36,45

Least Common Multiple of Numerators i.e. LCM of 3,4,36,45 is 180.

GCF of Denominators means GCF of 86,58,27,217 as per the given fractions.

GCF of 86,58,27,217 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,4,36,45

LCM of Fractions 3/86,4/58,36/27,45/217 is 180

2 3, 4, 36, 45
2 3, 2, 18, 45
3 3, 1, 9, 45
3 1, 1, 3, 15
1, 1, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 1 x 1 x 5 = 180

Least Common Multiple of 3,4,36,45 with GCF Formula

Least Common Multiple of 3,4,36,45 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 3,4,36,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,4,36,45) = 1

common factors(in case of two or more numbers have common factors) = 108

GCF(3,4,36,45) x common factors =1 x 108 = 108

LCM(3,4,36,45) = ( 3 × 4 × 36 × 45 ) / 108

LCM(3,4,36,45) = 19440 / 108

LCM(3,4,36,45) = 180


Lets's calculate GCF of 86,58,27,217

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 180/1

Therefore the LCM of Fractions 3/86,4/58,36/27,45/217 is 180

Greatest Common Factor of 86,58,27,217 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,58,27,217 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 27

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

1,3,9,27

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 86,58,27,217 . The biggest common factor number is the GCF number.
So the greatest common factor 86,58,27,217 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 3/86, 4/58, 36/27, 45/217

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 3/86, 4/58, 36/27, 45/217?

Answer: LCM of Numerators as per given numbers 3/86, 4/58, 36/27, 45/217 is

LCM of Numerators i.e. for 3,4,36,45 is 180

GCF of denominators i.e. for 86,58,27,217 is 1.

Thus, LCM of Fractions is 180.Finally, LCM of Fractions for 3/86, 4/58, 36/27, 45/217 is 180.