Least Common Multiple of 93/86, 20/89, 30/17, 18/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/86, 20/89, 30/17, 18/249 quickly i.e. 5580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/86, 20/89, 30/17, 18/249 is 5580.

LCM(93/86, 20/89, 30/17, 18/249) = 5580

LCM of 93/86, 20/89, 30/17, 18/249

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 93/86,20/89,30/17,18/249

Given numbers are 93/86,20/89,30/17,18/249

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 93,20,30,18

Least Common Multiple of Numerators i.e. LCM of 93,20,30,18 is 5580.

GCF of Denominators means GCF of 86,89,17,249 as per the given fractions.

GCF of 86,89,17,249 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,20,30,18

LCM of Fractions 93/86,20/89,30/17,18/249 is 5580

2 93, 20, 30, 18
3 93, 10, 15, 9
5 31, 10, 5, 3
31, 2, 1, 3

∴ So the LCM of the given numbers is 2 x 3 x 5 x 31 x 2 x 1 x 3 = 5580

Least Common Multiple of 93,20,30,18 with GCF Formula

Least Common Multiple of 93,20,30,18 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 93,20,30,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,20,30,18) = 1

common factors(in case of two or more numbers have common factors) = 180

GCF(93,20,30,18) x common factors =1 x 180 = 180

LCM(93,20,30,18) = ( 93 × 20 × 30 × 18 ) / 180

LCM(93,20,30,18) = 1004400 / 180

LCM(93,20,30,18) = 5580


Lets's calculate GCF of 86,89,17,249

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5580/1

Therefore the LCM of Fractions 93/86,20/89,30/17,18/249 is 5580

Greatest Common Factor of 86,89,17,249 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,89,17,249 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 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Greatest Common Factor

We found the factors 86,89,17,249 . The biggest common factor number is the GCF number.
So the greatest common factor 86,89,17,249 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 93/86, 20/89, 30/17, 18/249

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 93/86, 20/89, 30/17, 18/249?

Answer: LCM of Numerators as per given numbers 93/86, 20/89, 30/17, 18/249 is

LCM of Numerators i.e. for 93,20,30,18 is 5580

GCF of denominators i.e. for 86,89,17,249 is 1.

Thus, LCM of Fractions is 5580.Finally, LCM of Fractions for 93/86, 20/89, 30/17, 18/249 is 5580.