Least Common Multiple of 93/89, 10/20, 55/38, 30/530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/89, 10/20, 55/38, 30/530 quickly i.e. 10230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/89, 10/20, 55/38, 30/530 is 10230.

LCM(93/89, 10/20, 55/38, 30/530) = 10230

LCM of 93/89, 10/20, 55/38, 30/530

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 93/89,10/20,55/38,30/530

Given numbers are 93/89,10/20,55/38,30/530

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 93,10,55,30

Least Common Multiple of Numerators i.e. LCM of 93,10,55,30 is 10230.

GCF of Denominators means GCF of 89,20,38,530 as per the given fractions.

GCF of 89,20,38,530 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,10,55,30

LCM of Fractions 93/89,10/20,55/38,30/530 is 10230

2 93, 10, 55, 30
3 93, 5, 55, 15
5 31, 5, 55, 5
31, 1, 11, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 31 x 1 x 11 x 1 = 10230

Least Common Multiple of 93,10,55,30 with GCF Formula

Least Common Multiple of 93,10,55,30 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 93,10,55,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,10,55,30) = 1

common factors(in case of two or more numbers have common factors) = 150

GCF(93,10,55,30) x common factors =1 x 150 = 150

LCM(93,10,55,30) = ( 93 × 10 × 55 × 30 ) / 150

LCM(93,10,55,30) = 1534500 / 150

LCM(93,10,55,30) = 10230


Lets's calculate GCF of 89,20,38,530

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10230/1

Therefore the LCM of Fractions 93/89,10/20,55/38,30/530 is 10230

Greatest Common Factor of 89,20,38,530 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,20,38,530 By Matching Biggest Common Factor Method

Factors of 89

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

1,89

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Greatest Common Factor

We found the factors 89,20,38,530 . The biggest common factor number is the GCF number.
So the greatest common factor 89,20,38,530 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 93/89, 10/20, 55/38, 30/530

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 93/89, 10/20, 55/38, 30/530?

Answer: LCM of Numerators as per given numbers 93/89, 10/20, 55/38, 30/530 is

LCM of Numerators i.e. for 93,10,55,30 is 10230

GCF of denominators i.e. for 89,20,38,530 is 1.

Thus, LCM of Fractions is 10230.Finally, LCM of Fractions for 93/89, 10/20, 55/38, 30/530 is 10230.