Least Common Multiple of 809/82, 768/8378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 809/82, 768/8378 quickly i.e. 310656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 809/82, 768/8378 is 310656.

LCM(809/82, 768/8378) = 310656

LCM of 809/82, 768/8378

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 809/82,768/8378

Given numbers are 809/82,768/8378

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 809,768

Least Common Multiple of Numerators i.e. LCM of 809,768 is 621312.

GCF of Denominators means GCF of 82,8378 as per the given fractions.

GCF of 82,8378 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 809,768

LCM of Fractions 809/82,768/8378 is 310656

Given numbers has no common factors except 1. So, there LCM is their product i.e 621312

Least Common Multiple of 809,768 with GCF Formula

Least Common Multiple of 809,768 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 809,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(809,768) = 1

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

GCF(809,768) x common factors =1 x 1 = 1

LCM(809,768) = ( 809 × 768 ) / 1

LCM(809,768) = 621312 / 1

LCM(809,768) = 621312


Lets's calculate GCF of 82,8378

2 82, 8378
41, 4189

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 621312/2

Therefore the LCM of Fractions 809/82,768/8378 is 310656

Greatest Common Factor of 82,8378 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,8378 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 8378

List of positive integer factors of 8378 that divides 8378 without a remainder.

1,2,59,71,118,142,4189,8378

Greatest Common Factor

We found the factors 82,8378 . The biggest common factor number is the GCF number.
So the greatest common factor 82,8378 is 2.


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 809/82, 768/8378

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 809/82, 768/8378?

Answer: LCM of Numerators as per given numbers 809/82, 768/8378 is

LCM of Numerators i.e. for 809,768 is 621312

GCF of denominators i.e. for 82,8378 is 2.

Thus, LCM of Fractions is 310656.Finally, LCM of Fractions for 809/82, 768/8378 is 310656.