Least Common Multiple of 523/649, 639/394, 404/884

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 523/649, 639/394, 404/884 quickly i.e. 135015588 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 523/649, 639/394, 404/884 is 135015588.

LCM(523/649, 639/394, 404/884) = 135015588

LCM of 523/649, 639/394, 404/884

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 523/649,639/394,404/884

Given numbers are 523/649,639/394,404/884

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 523,639,404

Least Common Multiple of Numerators i.e. LCM of 523,639,404 is 135015588.

GCF of Denominators means GCF of 649,394,884 as per the given fractions.

GCF of 649,394,884 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 523,639,404

LCM of Fractions 523/649,639/394,404/884 is 135015588

Given numbers has no common factors except 1. So, there LCM is their product i.e 135015588

Least Common Multiple of 523,639,404 with GCF Formula

Least Common Multiple of 523,639,404 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 523,639,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,639,404) = 1

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

GCF(523,639,404) x common factors =1 x 1 = 1

LCM(523,639,404) = ( 523 × 639 × 404 ) / 1

LCM(523,639,404) = 135015588 / 1

LCM(523,639,404) = 135015588


Lets's calculate GCF of 649,394,884

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 135015588/1

Therefore the LCM of Fractions 523/649,639/394,404/884 is 135015588

Greatest Common Factor of 649,394,884 By Matching Biggest Common Factor Method

Greatest Common Factor of 649,394,884 By Matching Biggest Common Factor Method

Factors of 649

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

1,11,59,649

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Greatest Common Factor

We found the factors 649,394,884 . The biggest common factor number is the GCF number.
So the greatest common factor 649,394,884 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 523/649, 639/394, 404/884

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 523/649, 639/394, 404/884?

Answer: LCM of Numerators as per given numbers 523/649, 639/394, 404/884 is

LCM of Numerators i.e. for 523,639,404 is 135015588

GCF of denominators i.e. for 649,394,884 is 1.

Thus, LCM of Fractions is 135015588.Finally, LCM of Fractions for 523/649, 639/394, 404/884 is 135015588.