Least Common Multiple of 877/764, 409/305, 808/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 877/764, 409/305, 808/578 quickly i.e. 289823944 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 877/764, 409/305, 808/578 is 289823944.

LCM(877/764, 409/305, 808/578) = 289823944

LCM of 877/764, 409/305, 808/578

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 877/764,409/305,808/578

Given numbers are 877/764,409/305,808/578

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 877,409,808

Least Common Multiple of Numerators i.e. LCM of 877,409,808 is 289823944.

GCF of Denominators means GCF of 764,305,578 as per the given fractions.

GCF of 764,305,578 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 877,409,808

LCM of Fractions 877/764,409/305,808/578 is 289823944

Given numbers has no common factors except 1. So, there LCM is their product i.e 289823944

Least Common Multiple of 877,409,808 with GCF Formula

Least Common Multiple of 877,409,808 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 877,409,808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(877,409,808) = 1

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

GCF(877,409,808) x common factors =1 x 1 = 1

LCM(877,409,808) = ( 877 × 409 × 808 ) / 1

LCM(877,409,808) = 289823944 / 1

LCM(877,409,808) = 289823944


Lets's calculate GCF of 764,305,578

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 289823944/1

Therefore the LCM of Fractions 877/764,409/305,808/578 is 289823944

Greatest Common Factor of 764,305,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 764,305,578 By Matching Biggest Common Factor Method

Factors of 764

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

1,2,4,191,382,764

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 764,305,578 . The biggest common factor number is the GCF number.
So the greatest common factor 764,305,578 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 877/764, 409/305, 808/578

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 877/764, 409/305, 808/578?

Answer: LCM of Numerators as per given numbers 877/764, 409/305, 808/578 is

LCM of Numerators i.e. for 877,409,808 is 289823944

GCF of denominators i.e. for 764,305,578 is 1.

Thus, LCM of Fractions is 289823944.Finally, LCM of Fractions for 877/764, 409/305, 808/578 is 289823944.