Least Common Multiple of 584/81, 289/78, 648/477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 584/81, 289/78, 648/477 quickly i.e. 4556952 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 584/81, 289/78, 648/477 is 4556952.

LCM(584/81, 289/78, 648/477) = 4556952

LCM of 584/81, 289/78, 648/477

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 584/81,289/78,648/477

Given numbers are 584/81,289/78,648/477

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 584,289,648

Least Common Multiple of Numerators i.e. LCM of 584,289,648 is 13670856.

GCF of Denominators means GCF of 81,78,477 as per the given fractions.

GCF of 81,78,477 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 584,289,648

LCM of Fractions 584/81,289/78,648/477 is 4556952

2 584, 289, 648
2 292, 289, 324
2 146, 289, 162
73, 289, 81

∴ So the LCM of the given numbers is 2 x 2 x 2 x 73 x 289 x 81 = 13670856

Least Common Multiple of 584,289,648 with GCF Formula

Least Common Multiple of 584,289,648 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 584,289,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,289,648) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(584,289,648) x common factors =1 x 8 = 8

LCM(584,289,648) = ( 584 × 289 × 648 ) / 8

LCM(584,289,648) = 109366848 / 8

LCM(584,289,648) = 13670856


Lets's calculate GCF of 81,78,477

3 81, 78, 477
27, 26, 159

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13670856/3

Therefore the LCM of Fractions 584/81,289/78,648/477 is 4556952

Greatest Common Factor of 81,78,477 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,78,477 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Greatest Common Factor

We found the factors 81,78,477 . The biggest common factor number is the GCF number.
So the greatest common factor 81,78,477 is 3.


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 584/81, 289/78, 648/477

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 584/81, 289/78, 648/477?

Answer: LCM of Numerators as per given numbers 584/81, 289/78, 648/477 is

LCM of Numerators i.e. for 584,289,648 is 13670856

GCF of denominators i.e. for 81,78,477 is 3.

Thus, LCM of Fractions is 4556952.Finally, LCM of Fractions for 584/81, 289/78, 648/477 is 4556952.