Least Common Multiple of 900/37, 819/2300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 900/37, 819/2300 quickly i.e. 81900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 900/37, 819/2300 is 81900.

LCM(900/37, 819/2300) = 81900

LCM of 900/37, 819/2300

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 900/37,819/2300

Given numbers are 900/37,819/2300

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 900,819

Least Common Multiple of Numerators i.e. LCM of 900,819 is 81900.

GCF of Denominators means GCF of 37,2300 as per the given fractions.

GCF of 37,2300 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 900,819

LCM of Fractions 900/37,819/2300 is 81900

3 900, 819
3 300, 273
100, 91

∴ So the LCM of the given numbers is 3 x 3 x 100 x 91 = 81900

Least Common Multiple of 900,819 with GCF Formula

Least Common Multiple of 900,819 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 900,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,819) = 9

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

GCF(900,819) x common factors =9 x 1 = 9

LCM(900,819) = ( 900 × 819 ) / 9

LCM(900,819) = 737100 / 9

LCM(900,819) = 81900


Lets's calculate GCF of 37,2300

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81900/1

Therefore the LCM of Fractions 900/37,819/2300 is 81900

Greatest Common Factor of 37,2300 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,2300 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 2300

List of positive integer factors of 2300 that divides 2300 without a remainder.

1,2,4,5,10,20,23,25,46,50,92,100,115,230,460,575,1150,2300

Greatest Common Factor

We found the factors 37,2300 . The biggest common factor number is the GCF number.
So the greatest common factor 37,2300 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 900/37, 819/2300

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 900/37, 819/2300?

Answer: LCM of Numerators as per given numbers 900/37, 819/2300 is

LCM of Numerators i.e. for 900,819 is 81900

GCF of denominators i.e. for 37,2300 is 1.

Thus, LCM of Fractions is 81900.Finally, LCM of Fractions for 900/37, 819/2300 is 81900.