Least Common Multiple of 58/82, 34/19, 19/38, 46/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/82, 34/19, 19/38, 46/408 quickly i.e. 430882 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/82, 34/19, 19/38, 46/408 is 430882.

LCM(58/82, 34/19, 19/38, 46/408) = 430882

LCM of 58/82, 34/19, 19/38, 46/408

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 58/82,34/19,19/38,46/408

Given numbers are 58/82,34/19,19/38,46/408

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 58,34,19,46

Least Common Multiple of Numerators i.e. LCM of 58,34,19,46 is 430882.

GCF of Denominators means GCF of 82,19,38,408 as per the given fractions.

GCF of 82,19,38,408 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,34,19,46

LCM of Fractions 58/82,34/19,19/38,46/408 is 430882

2 58, 34, 19, 46
29, 17, 19, 23

∴ So the LCM of the given numbers is 2 x 29 x 17 x 19 x 23 = 430882

Least Common Multiple of 58,34,19,46 with GCF Formula

Least Common Multiple of 58,34,19,46 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 58,34,19,46 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,34,19,46) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(58,34,19,46) x common factors =1 x 4 = 4

LCM(58,34,19,46) = ( 58 × 34 × 19 × 46 ) / 4

LCM(58,34,19,46) = 1723528 / 4

LCM(58,34,19,46) = 430882


Lets's calculate GCF of 82,19,38,408

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 430882/1

Therefore the LCM of Fractions 58/82,34/19,19/38,46/408 is 430882

Greatest Common Factor of 82,19,38,408 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,19,38,408 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 19

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

1,19

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Greatest Common Factor

We found the factors 82,19,38,408 . The biggest common factor number is the GCF number.
So the greatest common factor 82,19,38,408 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 58/82, 34/19, 19/38, 46/408

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 58/82, 34/19, 19/38, 46/408?

Answer: LCM of Numerators as per given numbers 58/82, 34/19, 19/38, 46/408 is

LCM of Numerators i.e. for 58,34,19,46 is 430882

GCF of denominators i.e. for 82,19,38,408 is 1.

Thus, LCM of Fractions is 430882.Finally, LCM of Fractions for 58/82, 34/19, 19/38, 46/408 is 430882.