Least Common Multiple of 1819/900, 6793/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1819/900, 6793/728 quickly i.e. 12356467/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1819/900, 6793/728 is 12356467/4.

LCM(1819/900, 6793/728) = 12356467/4

LCM of 1819/900, 6793/728

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 1819/900,6793/728

Given numbers are 1819/900,6793/728

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 1819,6793

Least Common Multiple of Numerators i.e. LCM of 1819,6793 is 12356467.

GCF of Denominators means GCF of 900,728 as per the given fractions.

GCF of 900,728 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1819,6793

LCM of Fractions 1819/900,6793/728 is 12356467/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 12356467

Least Common Multiple of 1819,6793 with GCF Formula

Least Common Multiple of 1819,6793 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 1819,6793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1819,6793) = 1

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

GCF(1819,6793) x common factors =1 x 1 = 1

LCM(1819,6793) = ( 1819 × 6793 ) / 1

LCM(1819,6793) = 12356467 / 1

LCM(1819,6793) = 12356467


Lets's calculate GCF of 900,728

2 900, 728
2 450, 364
225, 182

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12356467/4

Therefore the LCM of Fractions 1819/900,6793/728 is 12356467/4

Greatest Common Factor of 900,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 900,728 By Matching Biggest Common Factor Method

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

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 900,728 . The biggest common factor number is the GCF number.
So the greatest common factor 900,728 is 4.


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 1819/900, 6793/728

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 1819/900, 6793/728?

Answer: LCM of Numerators as per given numbers 1819/900, 6793/728 is

LCM of Numerators i.e. for 1819,6793 is 12356467

GCF of denominators i.e. for 900,728 is 4.

Thus, LCM of Fractions is 12356467/4.Finally, LCM of Fractions for 1819/900, 6793/728 is 12356467/4.