Least Common Multiple of 89/562, 584/313, 530/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/562, 584/313, 530/990 quickly i.e. 13773640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/562, 584/313, 530/990 is 13773640.

LCM(89/562, 584/313, 530/990) = 13773640

LCM of 89/562, 584/313, 530/990

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 89/562,584/313,530/990

Given numbers are 89/562,584/313,530/990

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 89,584,530

Least Common Multiple of Numerators i.e. LCM of 89,584,530 is 13773640.

GCF of Denominators means GCF of 562,313,990 as per the given fractions.

GCF of 562,313,990 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,584,530

LCM of Fractions 89/562,584/313,530/990 is 13773640

2 89, 584, 530
89, 292, 265

∴ So the LCM of the given numbers is 2 x 89 x 292 x 265 = 13773640

Least Common Multiple of 89,584,530 with GCF Formula

Least Common Multiple of 89,584,530 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 89,584,530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,584,530) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(89,584,530) x common factors =1 x 2 = 2

LCM(89,584,530) = ( 89 × 584 × 530 ) / 2

LCM(89,584,530) = 27547280 / 2

LCM(89,584,530) = 13773640


Lets's calculate GCF of 562,313,990

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13773640/1

Therefore the LCM of Fractions 89/562,584/313,530/990 is 13773640

Greatest Common Factor of 562,313,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 562,313,990 By Matching Biggest Common Factor Method

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 562,313,990 . The biggest common factor number is the GCF number.
So the greatest common factor 562,313,990 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 89/562, 584/313, 530/990

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 89/562, 584/313, 530/990?

Answer: LCM of Numerators as per given numbers 89/562, 584/313, 530/990 is

LCM of Numerators i.e. for 89,584,530 is 13773640

GCF of denominators i.e. for 562,313,990 is 1.

Thus, LCM of Fractions is 13773640.Finally, LCM of Fractions for 89/562, 584/313, 530/990 is 13773640.