Least Common Multiple of 57/480, 220/589, 808/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/480, 220/589, 808/360 quickly i.e. 2533080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/480, 220/589, 808/360 is 2533080.

LCM(57/480, 220/589, 808/360) = 2533080

LCM of 57/480, 220/589, 808/360

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 57/480,220/589,808/360

Given numbers are 57/480,220/589,808/360

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 57,220,808

Least Common Multiple of Numerators i.e. LCM of 57,220,808 is 2533080.

GCF of Denominators means GCF of 480,589,360 as per the given fractions.

GCF of 480,589,360 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,220,808

LCM of Fractions 57/480,220/589,808/360 is 2533080

2 57, 220, 808
2 57, 110, 404
57, 55, 202

∴ So the LCM of the given numbers is 2 x 2 x 57 x 55 x 202 = 2533080

Least Common Multiple of 57,220,808 with GCF Formula

Least Common Multiple of 57,220,808 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 57,220,808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,220,808) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(57,220,808) x common factors =1 x 4 = 4

LCM(57,220,808) = ( 57 × 220 × 808 ) / 4

LCM(57,220,808) = 10132320 / 4

LCM(57,220,808) = 2533080


Lets's calculate GCF of 480,589,360

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2533080/1

Therefore the LCM of Fractions 57/480,220/589,808/360 is 2533080

Greatest Common Factor of 480,589,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 480,589,360 By Matching Biggest Common Factor Method

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 480,589,360 . The biggest common factor number is the GCF number.
So the greatest common factor 480,589,360 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 57/480, 220/589, 808/360

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 57/480, 220/589, 808/360?

Answer: LCM of Numerators as per given numbers 57/480, 220/589, 808/360 is

LCM of Numerators i.e. for 57,220,808 is 2533080

GCF of denominators i.e. for 480,589,360 is 1.

Thus, LCM of Fractions is 2533080.Finally, LCM of Fractions for 57/480, 220/589, 808/360 is 2533080.