Least Common Multiple of 644/823, 325/548, 353/764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 644/823, 325/548, 353/764 quickly i.e. 73882900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 644/823, 325/548, 353/764 is 73882900.

LCM(644/823, 325/548, 353/764) = 73882900

LCM of 644/823, 325/548, 353/764

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 644/823,325/548,353/764

Given numbers are 644/823,325/548,353/764

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 644,325,353

Least Common Multiple of Numerators i.e. LCM of 644,325,353 is 73882900.

GCF of Denominators means GCF of 823,548,764 as per the given fractions.

GCF of 823,548,764 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 644,325,353

LCM of Fractions 644/823,325/548,353/764 is 73882900

Given numbers has no common factors except 1. So, there LCM is their product i.e 73882900

Least Common Multiple of 644,325,353 with GCF Formula

Least Common Multiple of 644,325,353 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 644,325,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(644,325,353) = 1

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

GCF(644,325,353) x common factors =1 x 1 = 1

LCM(644,325,353) = ( 644 × 325 × 353 ) / 1

LCM(644,325,353) = 73882900 / 1

LCM(644,325,353) = 73882900


Lets's calculate GCF of 823,548,764

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73882900/1

Therefore the LCM of Fractions 644/823,325/548,353/764 is 73882900

Greatest Common Factor of 823,548,764 By Matching Biggest Common Factor Method

Greatest Common Factor of 823,548,764 By Matching Biggest Common Factor Method

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Greatest Common Factor

We found the factors 823,548,764 . The biggest common factor number is the GCF number.
So the greatest common factor 823,548,764 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 644/823, 325/548, 353/764

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 644/823, 325/548, 353/764?

Answer: LCM of Numerators as per given numbers 644/823, 325/548, 353/764 is

LCM of Numerators i.e. for 644,325,353 is 73882900

GCF of denominators i.e. for 823,548,764 is 1.

Thus, LCM of Fractions is 73882900.Finally, LCM of Fractions for 644/823, 325/548, 353/764 is 73882900.