Least Common Multiple of 4071/89, 6084/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4071/89, 6084/462 quickly i.e. 8255988 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4071/89, 6084/462 is 8255988.

LCM(4071/89, 6084/462) = 8255988

LCM of 4071/89, 6084/462

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 4071/89,6084/462

Given numbers are 4071/89,6084/462

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 4071,6084

Least Common Multiple of Numerators i.e. LCM of 4071,6084 is 8255988.

GCF of Denominators means GCF of 89,462 as per the given fractions.

GCF of 89,462 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4071,6084

LCM of Fractions 4071/89,6084/462 is 8255988

3 4071, 6084
1357, 2028

∴ So the LCM of the given numbers is 3 x 1357 x 2028 = 8255988

Least Common Multiple of 4071,6084 with GCF Formula

Least Common Multiple of 4071,6084 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 4071,6084 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4071,6084) = 3

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

GCF(4071,6084) x common factors =3 x 1 = 3

LCM(4071,6084) = ( 4071 × 6084 ) / 3

LCM(4071,6084) = 24767964 / 3

LCM(4071,6084) = 8255988


Lets's calculate GCF of 89,462

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8255988/1

Therefore the LCM of Fractions 4071/89,6084/462 is 8255988

Greatest Common Factor of 89,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,462 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 89,462 . The biggest common factor number is the GCF number.
So the greatest common factor 89,462 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 4071/89, 6084/462

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 4071/89, 6084/462?

Answer: LCM of Numerators as per given numbers 4071/89, 6084/462 is

LCM of Numerators i.e. for 4071,6084 is 8255988

GCF of denominators i.e. for 89,462 is 1.

Thus, LCM of Fractions is 8255988.Finally, LCM of Fractions for 4071/89, 6084/462 is 8255988.