Least Common Multiple of 220/89, 584/5385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 220/89, 584/5385 quickly i.e. 32120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 220/89, 584/5385 is 32120.

LCM(220/89, 584/5385) = 32120

LCM of 220/89, 584/5385

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 220/89,584/5385

Given numbers are 220/89,584/5385

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 220,584

Least Common Multiple of Numerators i.e. LCM of 220,584 is 32120.

GCF of Denominators means GCF of 89,5385 as per the given fractions.

GCF of 89,5385 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 220,584

LCM of Fractions 220/89,584/5385 is 32120

2 220, 584
2 110, 292
55, 146

∴ So the LCM of the given numbers is 2 x 2 x 55 x 146 = 32120

Least Common Multiple of 220,584 with GCF Formula

Least Common Multiple of 220,584 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 220,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,584) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(220,584) x common factors =4 x 1 = 4

LCM(220,584) = ( 220 × 584 ) / 4

LCM(220,584) = 128480 / 4

LCM(220,584) = 32120


Lets's calculate GCF of 89,5385

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32120/1

Therefore the LCM of Fractions 220/89,584/5385 is 32120

Greatest Common Factor of 89,5385 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,5385 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 5385

List of positive integer factors of 5385 that divides 5385 without a remainder.

1,3,5,15,359,1077,1795,5385

Greatest Common Factor

We found the factors 89,5385 . The biggest common factor number is the GCF number.
So the greatest common factor 89,5385 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 220/89, 584/5385

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 220/89, 584/5385?

Answer: LCM of Numerators as per given numbers 220/89, 584/5385 is

LCM of Numerators i.e. for 220,584 is 32120

GCF of denominators i.e. for 89,5385 is 1.

Thus, LCM of Fractions is 32120.Finally, LCM of Fractions for 220/89, 584/5385 is 32120.