Least Common Multiple of 13/46, 975/43, 582/131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/46, 975/43, 582/131 quickly i.e. 189150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/46, 975/43, 582/131 is 189150.

LCM(13/46, 975/43, 582/131) = 189150

LCM of 13/46, 975/43, 582/131

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 13/46,975/43,582/131

Given numbers are 13/46,975/43,582/131

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 13,975,582

Least Common Multiple of Numerators i.e. LCM of 13,975,582 is 189150.

GCF of Denominators means GCF of 46,43,131 as per the given fractions.

GCF of 46,43,131 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,975,582

LCM of Fractions 13/46,975/43,582/131 is 189150

3 13, 975, 582
13 13, 325, 194
1, 25, 194

∴ So the LCM of the given numbers is 3 x 13 x 1 x 25 x 194 = 189150

Least Common Multiple of 13,975,582 with GCF Formula

Least Common Multiple of 13,975,582 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 13,975,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,975,582) = 1

common factors(in case of two or more numbers have common factors) = 39

GCF(13,975,582) x common factors =1 x 39 = 39

LCM(13,975,582) = ( 13 × 975 × 582 ) / 39

LCM(13,975,582) = 7376850 / 39

LCM(13,975,582) = 189150


Lets's calculate GCF of 46,43,131

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 189150/1

Therefore the LCM of Fractions 13/46,975/43,582/131 is 189150

Greatest Common Factor of 46,43,131 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,43,131 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 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Greatest Common Factor

We found the factors 46,43,131 . The biggest common factor number is the GCF number.
So the greatest common factor 46,43,131 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 13/46, 975/43, 582/131

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 13/46, 975/43, 582/131?

Answer: LCM of Numerators as per given numbers 13/46, 975/43, 582/131 is

LCM of Numerators i.e. for 13,975,582 is 189150

GCF of denominators i.e. for 46,43,131 is 1.

Thus, LCM of Fractions is 189150.Finally, LCM of Fractions for 13/46, 975/43, 582/131 is 189150.