Least Common Multiple of 47/693, 29/649, 584/319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/693, 29/649, 584/319 quickly i.e. 795992/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/693, 29/649, 584/319 is 795992/11.

LCM(47/693, 29/649, 584/319) = 795992/11

LCM of 47/693, 29/649, 584/319

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 47/693,29/649,584/319

Given numbers are 47/693,29/649,584/319

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 47,29,584

Least Common Multiple of Numerators i.e. LCM of 47,29,584 is 795992.

GCF of Denominators means GCF of 693,649,319 as per the given fractions.

GCF of 693,649,319 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,29,584

LCM of Fractions 47/693,29/649,584/319 is 795992/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 795992

Least Common Multiple of 47,29,584 with GCF Formula

Least Common Multiple of 47,29,584 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 47,29,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,29,584) = 1

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

GCF(47,29,584) x common factors =1 x 1 = 1

LCM(47,29,584) = ( 47 × 29 × 584 ) / 1

LCM(47,29,584) = 795992 / 1

LCM(47,29,584) = 795992


Lets's calculate GCF of 693,649,319

11 693, 649, 319
63, 59, 29

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 795992/11

Therefore the LCM of Fractions 47/693,29/649,584/319 is 795992/11

Greatest Common Factor of 693,649,319 By Matching Biggest Common Factor Method

Greatest Common Factor of 693,649,319 By Matching Biggest Common Factor Method

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Greatest Common Factor

We found the factors 693,649,319 . The biggest common factor number is the GCF number.
So the greatest common factor 693,649,319 is 11.


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 47/693, 29/649, 584/319

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 47/693, 29/649, 584/319?

Answer: LCM of Numerators as per given numbers 47/693, 29/649, 584/319 is

LCM of Numerators i.e. for 47,29,584 is 795992

GCF of denominators i.e. for 693,649,319 is 11.

Thus, LCM of Fractions is 795992/11.Finally, LCM of Fractions for 47/693, 29/649, 584/319 is 795992/11.