Least Common Multiple of 584/20, 130/23, 362/31

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 584/20, 130/23, 362/31 quickly i.e. 6870760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 584/20, 130/23, 362/31 is 6870760.

LCM(584/20, 130/23, 362/31) = 6870760

LCM of 584/20, 130/23, 362/31

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 584/20,130/23,362/31

Given numbers are 584/20,130/23,362/31

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 584,130,362

Least Common Multiple of Numerators i.e. LCM of 584,130,362 is 6870760.

GCF of Denominators means GCF of 20,23,31 as per the given fractions.

GCF of 20,23,31 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 584,130,362

LCM of Fractions 584/20,130/23,362/31 is 6870760

2 584, 130, 362
292, 65, 181

∴ So the LCM of the given numbers is 2 x 292 x 65 x 181 = 6870760

Least Common Multiple of 584,130,362 with GCF Formula

Least Common Multiple of 584,130,362 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 584,130,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,130,362) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(584,130,362) x common factors =2 x 2 = 4

LCM(584,130,362) = ( 584 × 130 × 362 ) / 4

LCM(584,130,362) = 27483040 / 4

LCM(584,130,362) = 6870760


Lets's calculate GCF of 20,23,31

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6870760/1

Therefore the LCM of Fractions 584/20,130/23,362/31 is 6870760

Greatest Common Factor of 20,23,31 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,23,31 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Greatest Common Factor

We found the factors 20,23,31 . The biggest common factor number is the GCF number.
So the greatest common factor 20,23,31 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 584/20, 130/23, 362/31

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 584/20, 130/23, 362/31?

Answer: LCM of Numerators as per given numbers 584/20, 130/23, 362/31 is

LCM of Numerators i.e. for 584,130,362 is 6870760

GCF of denominators i.e. for 20,23,31 is 1.

Thus, LCM of Fractions is 6870760.Finally, LCM of Fractions for 584/20, 130/23, 362/31 is 6870760.