Least Common Multiple of 80/906, 4084/3643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/906, 4084/3643 quickly i.e. 81680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/906, 4084/3643 is 81680.

LCM(80/906, 4084/3643) = 81680

LCM of 80/906, 4084/3643

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 80/906,4084/3643

Given numbers are 80/906,4084/3643

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 80,4084

Least Common Multiple of Numerators i.e. LCM of 80,4084 is 81680.

GCF of Denominators means GCF of 906,3643 as per the given fractions.

GCF of 906,3643 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,4084

LCM of Fractions 80/906,4084/3643 is 81680

2 80, 4084
2 40, 2042
20, 1021

∴ So the LCM of the given numbers is 2 x 2 x 20 x 1021 = 81680

Least Common Multiple of 80,4084 with GCF Formula

Least Common Multiple of 80,4084 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 80,4084 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,4084) = 4

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

GCF(80,4084) x common factors =4 x 1 = 4

LCM(80,4084) = ( 80 × 4084 ) / 4

LCM(80,4084) = 326720 / 4

LCM(80,4084) = 81680


Lets's calculate GCF of 906,3643

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81680/1

Therefore the LCM of Fractions 80/906,4084/3643 is 81680

Greatest Common Factor of 906,3643 By Matching Biggest Common Factor Method

Greatest Common Factor of 906,3643 By Matching Biggest Common Factor Method

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Factors of 3643

List of positive integer factors of 3643 that divides 3643 without a remainder.

1,3643

Greatest Common Factor

We found the factors 906,3643 . The biggest common factor number is the GCF number.
So the greatest common factor 906,3643 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 80/906, 4084/3643

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 80/906, 4084/3643?

Answer: LCM of Numerators as per given numbers 80/906, 4084/3643 is

LCM of Numerators i.e. for 80,4084 is 81680

GCF of denominators i.e. for 906,3643 is 1.

Thus, LCM of Fractions is 81680.Finally, LCM of Fractions for 80/906, 4084/3643 is 81680.