Least Common Multiple of 500/218, 590/278, 202/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 500/218, 590/278, 202/900 quickly i.e. 1489750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 500/218, 590/278, 202/900 is 1489750.

LCM(500/218, 590/278, 202/900) = 1489750

LCM of 500/218, 590/278, 202/900

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 500/218,590/278,202/900

Given numbers are 500/218,590/278,202/900

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 500,590,202

Least Common Multiple of Numerators i.e. LCM of 500,590,202 is 2979500.

GCF of Denominators means GCF of 218,278,900 as per the given fractions.

GCF of 218,278,900 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 500,590,202

LCM of Fractions 500/218,590/278,202/900 is 1489750

2 500, 590, 202
5 250, 295, 101
50, 59, 101

∴ So the LCM of the given numbers is 2 x 5 x 50 x 59 x 101 = 2979500

Least Common Multiple of 500,590,202 with GCF Formula

Least Common Multiple of 500,590,202 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 500,590,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,590,202) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(500,590,202) x common factors =2 x 10 = 20

LCM(500,590,202) = ( 500 × 590 × 202 ) / 20

LCM(500,590,202) = 59590000 / 20

LCM(500,590,202) = 2979500


Lets's calculate GCF of 218,278,900

2 218, 278, 900
109, 139, 450

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2979500/2

Therefore the LCM of Fractions 500/218,590/278,202/900 is 1489750

Greatest Common Factor of 218,278,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 218,278,900 By Matching Biggest Common Factor Method

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 218,278,900 . The biggest common factor number is the GCF number.
So the greatest common factor 218,278,900 is 2.


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 500/218, 590/278, 202/900

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 500/218, 590/278, 202/900?

Answer: LCM of Numerators as per given numbers 500/218, 590/278, 202/900 is

LCM of Numerators i.e. for 500,590,202 is 2979500

GCF of denominators i.e. for 218,278,900 is 2.

Thus, LCM of Fractions is 1489750.Finally, LCM of Fractions for 500/218, 590/278, 202/900 is 1489750.