Least Common Multiple of 84/11, 643/14, 579/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/11, 643/14, 579/366 quickly i.e. 10424316 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/11, 643/14, 579/366 is 10424316.

LCM(84/11, 643/14, 579/366) = 10424316

LCM of 84/11, 643/14, 579/366

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 84/11,643/14,579/366

Given numbers are 84/11,643/14,579/366

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 84,643,579

Least Common Multiple of Numerators i.e. LCM of 84,643,579 is 10424316.

GCF of Denominators means GCF of 11,14,366 as per the given fractions.

GCF of 11,14,366 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,643,579

LCM of Fractions 84/11,643/14,579/366 is 10424316

3 84, 643, 579
28, 643, 193

∴ So the LCM of the given numbers is 3 x 28 x 643 x 193 = 10424316

Least Common Multiple of 84,643,579 with GCF Formula

Least Common Multiple of 84,643,579 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 84,643,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,643,579) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(84,643,579) x common factors =1 x 3 = 3

LCM(84,643,579) = ( 84 × 643 × 579 ) / 3

LCM(84,643,579) = 31272948 / 3

LCM(84,643,579) = 10424316


Lets's calculate GCF of 11,14,366

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10424316/1

Therefore the LCM of Fractions 84/11,643/14,579/366 is 10424316

Greatest Common Factor of 11,14,366 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,14,366 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Greatest Common Factor

We found the factors 11,14,366 . The biggest common factor number is the GCF number.
So the greatest common factor 11,14,366 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 84/11, 643/14, 579/366

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 84/11, 643/14, 579/366?

Answer: LCM of Numerators as per given numbers 84/11, 643/14, 579/366 is

LCM of Numerators i.e. for 84,643,579 is 10424316

GCF of denominators i.e. for 11,14,366 is 1.

Thus, LCM of Fractions is 10424316.Finally, LCM of Fractions for 84/11, 643/14, 579/366 is 10424316.