Least Common Multiple of 1775/576, 7839/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1775/576, 7839/825 quickly i.e. 4638075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1775/576, 7839/825 is 4638075.

LCM(1775/576, 7839/825) = 4638075

LCM of 1775/576, 7839/825

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 1775/576,7839/825

Given numbers are 1775/576,7839/825

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 1775,7839

Least Common Multiple of Numerators i.e. LCM of 1775,7839 is 13914225.

GCF of Denominators means GCF of 576,825 as per the given fractions.

GCF of 576,825 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1775,7839

LCM of Fractions 1775/576,7839/825 is 4638075

Given numbers has no common factors except 1. So, there LCM is their product i.e 13914225

Least Common Multiple of 1775,7839 with GCF Formula

Least Common Multiple of 1775,7839 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 1775,7839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1775,7839) = 1

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

GCF(1775,7839) x common factors =1 x 1 = 1

LCM(1775,7839) = ( 1775 × 7839 ) / 1

LCM(1775,7839) = 13914225 / 1

LCM(1775,7839) = 13914225


Lets's calculate GCF of 576,825

3 576, 825
192, 275

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13914225/3

Therefore the LCM of Fractions 1775/576,7839/825 is 4638075

Greatest Common Factor of 576,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 576,825 By Matching Biggest Common Factor Method

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 576,825 . The biggest common factor number is the GCF number.
So the greatest common factor 576,825 is 3.


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 1775/576, 7839/825

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 1775/576, 7839/825?

Answer: LCM of Numerators as per given numbers 1775/576, 7839/825 is

LCM of Numerators i.e. for 1775,7839 is 13914225

GCF of denominators i.e. for 576,825 is 3.

Thus, LCM of Fractions is 4638075.Finally, LCM of Fractions for 1775/576, 7839/825 is 4638075.