Least Common Multiple of 204/825, 905/289, 577/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 204/825, 905/289, 577/364 quickly i.e. 106525740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 204/825, 905/289, 577/364 is 106525740.

LCM(204/825, 905/289, 577/364) = 106525740

LCM of 204/825, 905/289, 577/364

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 204/825,905/289,577/364

Given numbers are 204/825,905/289,577/364

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 204,905,577

Least Common Multiple of Numerators i.e. LCM of 204,905,577 is 106525740.

GCF of Denominators means GCF of 825,289,364 as per the given fractions.

GCF of 825,289,364 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 204,905,577

LCM of Fractions 204/825,905/289,577/364 is 106525740

Given numbers has no common factors except 1. So, there LCM is their product i.e 106525740

Least Common Multiple of 204,905,577 with GCF Formula

Least Common Multiple of 204,905,577 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 204,905,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,905,577) = 1

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

GCF(204,905,577) x common factors =1 x 1 = 1

LCM(204,905,577) = ( 204 × 905 × 577 ) / 1

LCM(204,905,577) = 106525740 / 1

LCM(204,905,577) = 106525740


Lets's calculate GCF of 825,289,364

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106525740/1

Therefore the LCM of Fractions 204/825,905/289,577/364 is 106525740

Greatest Common Factor of 825,289,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 825,289,364 By Matching Biggest Common Factor Method

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

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 825,289,364 . The biggest common factor number is the GCF number.
So the greatest common factor 825,289,364 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 204/825, 905/289, 577/364

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 204/825, 905/289, 577/364?

Answer: LCM of Numerators as per given numbers 204/825, 905/289, 577/364 is

LCM of Numerators i.e. for 204,905,577 is 106525740

GCF of denominators i.e. for 825,289,364 is 1.

Thus, LCM of Fractions is 106525740.Finally, LCM of Fractions for 204/825, 905/289, 577/364 is 106525740.