Least Common Multiple of 13/382, 691/532, 583/922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/382, 691/532, 583/922 quickly i.e. 5237089/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/382, 691/532, 583/922 is 5237089/2.

LCM(13/382, 691/532, 583/922) = 5237089/2

LCM of 13/382, 691/532, 583/922

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 13/382,691/532,583/922

Given numbers are 13/382,691/532,583/922

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 13,691,583

Least Common Multiple of Numerators i.e. LCM of 13,691,583 is 5237089.

GCF of Denominators means GCF of 382,532,922 as per the given fractions.

GCF of 382,532,922 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,691,583

LCM of Fractions 13/382,691/532,583/922 is 5237089/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 5237089

Least Common Multiple of 13,691,583 with GCF Formula

Least Common Multiple of 13,691,583 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 13,691,583 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,691,583) = 1

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

GCF(13,691,583) x common factors =1 x 1 = 1

LCM(13,691,583) = ( 13 × 691 × 583 ) / 1

LCM(13,691,583) = 5237089 / 1

LCM(13,691,583) = 5237089


Lets's calculate GCF of 382,532,922

2 382, 532, 922
191, 266, 461

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5237089/2

Therefore the LCM of Fractions 13/382,691/532,583/922 is 5237089/2

Greatest Common Factor of 382,532,922 By Matching Biggest Common Factor Method

Greatest Common Factor of 382,532,922 By Matching Biggest Common Factor Method

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Greatest Common Factor

We found the factors 382,532,922 . The biggest common factor number is the GCF number.
So the greatest common factor 382,532,922 is 2.


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 13/382, 691/532, 583/922

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 13/382, 691/532, 583/922?

Answer: LCM of Numerators as per given numbers 13/382, 691/532, 583/922 is

LCM of Numerators i.e. for 13,691,583 is 5237089

GCF of denominators i.e. for 382,532,922 is 2.

Thus, LCM of Fractions is 5237089/2.Finally, LCM of Fractions for 13/382, 691/532, 583/922 is 5237089/2.