Least Common Multiple of 58/819, 609/705, 341/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/819, 609/705, 341/158 quickly i.e. 415338 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/819, 609/705, 341/158 is 415338.

LCM(58/819, 609/705, 341/158) = 415338

LCM of 58/819, 609/705, 341/158

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 58/819,609/705,341/158

Given numbers are 58/819,609/705,341/158

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 58,609,341

Least Common Multiple of Numerators i.e. LCM of 58,609,341 is 415338.

GCF of Denominators means GCF of 819,705,158 as per the given fractions.

GCF of 819,705,158 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,609,341

LCM of Fractions 58/819,609/705,341/158 is 415338

29 58, 609, 341
2, 21, 341

∴ So the LCM of the given numbers is 29 x 2 x 21 x 341 = 415338

Least Common Multiple of 58,609,341 with GCF Formula

Least Common Multiple of 58,609,341 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 58,609,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,609,341) = 1

common factors(in case of two or more numbers have common factors) = 29

GCF(58,609,341) x common factors =1 x 29 = 29

LCM(58,609,341) = ( 58 × 609 × 341 ) / 29

LCM(58,609,341) = 12044802 / 29

LCM(58,609,341) = 415338


Lets's calculate GCF of 819,705,158

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 415338/1

Therefore the LCM of Fractions 58/819,609/705,341/158 is 415338

Greatest Common Factor of 819,705,158 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,705,158 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Greatest Common Factor

We found the factors 819,705,158 . The biggest common factor number is the GCF number.
So the greatest common factor 819,705,158 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 58/819, 609/705, 341/158

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 58/819, 609/705, 341/158?

Answer: LCM of Numerators as per given numbers 58/819, 609/705, 341/158 is

LCM of Numerators i.e. for 58,609,341 is 415338

GCF of denominators i.e. for 819,705,158 is 1.

Thus, LCM of Fractions is 415338.Finally, LCM of Fractions for 58/819, 609/705, 341/158 is 415338.