Least Common Multiple of 310/46, 243/19, 584/441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 310/46, 243/19, 584/441 quickly i.e. 21996360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 310/46, 243/19, 584/441 is 21996360.

LCM(310/46, 243/19, 584/441) = 21996360

LCM of 310/46, 243/19, 584/441

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 310/46,243/19,584/441

Given numbers are 310/46,243/19,584/441

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 310,243,584

Least Common Multiple of Numerators i.e. LCM of 310,243,584 is 21996360.

GCF of Denominators means GCF of 46,19,441 as per the given fractions.

GCF of 46,19,441 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 310,243,584

LCM of Fractions 310/46,243/19,584/441 is 21996360

2 310, 243, 584
155, 243, 292

∴ So the LCM of the given numbers is 2 x 155 x 243 x 292 = 21996360

Least Common Multiple of 310,243,584 with GCF Formula

Least Common Multiple of 310,243,584 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 310,243,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,243,584) = 1

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

GCF(310,243,584) x common factors =1 x 2 = 2

LCM(310,243,584) = ( 310 × 243 × 584 ) / 2

LCM(310,243,584) = 43992720 / 2

LCM(310,243,584) = 21996360


Lets's calculate GCF of 46,19,441

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21996360/1

Therefore the LCM of Fractions 310/46,243/19,584/441 is 21996360

Greatest Common Factor of 46,19,441 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,19,441 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Greatest Common Factor

We found the factors 46,19,441 . The biggest common factor number is the GCF number.
So the greatest common factor 46,19,441 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 310/46, 243/19, 584/441

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 310/46, 243/19, 584/441?

Answer: LCM of Numerators as per given numbers 310/46, 243/19, 584/441 is

LCM of Numerators i.e. for 310,243,584 is 21996360

GCF of denominators i.e. for 46,19,441 is 1.

Thus, LCM of Fractions is 21996360.Finally, LCM of Fractions for 310/46, 243/19, 584/441 is 21996360.