Least Common Multiple of 58/331, 58/845, 612/911

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/331, 58/845, 612/911 quickly i.e. 17748 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/331, 58/845, 612/911 is 17748.

LCM(58/331, 58/845, 612/911) = 17748

LCM of 58/331, 58/845, 612/911

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 58/331,58/845,612/911

Given numbers are 58/331,58/845,612/911

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 58,58,612

Least Common Multiple of Numerators i.e. LCM of 58,58,612 is 17748.

GCF of Denominators means GCF of 331,845,911 as per the given fractions.

GCF of 331,845,911 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,58,612

LCM of Fractions 58/331,58/845,612/911 is 17748

2 58, 58, 612
29 29, 29, 306
1, 1, 306

∴ So the LCM of the given numbers is 2 x 29 x 1 x 1 x 306 = 17748

Least Common Multiple of 58,58,612 with GCF Formula

Least Common Multiple of 58,58,612 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 58,58,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,58,612) = 2

common factors(in case of two or more numbers have common factors) = 58

GCF(58,58,612) x common factors =2 x 58 = 116

LCM(58,58,612) = ( 58 × 58 × 612 ) / 116

LCM(58,58,612) = 2058768 / 116

LCM(58,58,612) = 17748


Lets's calculate GCF of 331,845,911

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17748/1

Therefore the LCM of Fractions 58/331,58/845,612/911 is 17748

Greatest Common Factor of 331,845,911 By Matching Biggest Common Factor Method

Greatest Common Factor of 331,845,911 By Matching Biggest Common Factor Method

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Factors of 911

List of positive integer factors of 911 that divides 911 without a remainder.

1,911

Greatest Common Factor

We found the factors 331,845,911 . The biggest common factor number is the GCF number.
So the greatest common factor 331,845,911 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 58/331, 58/845, 612/911

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 58/331, 58/845, 612/911?

Answer: LCM of Numerators as per given numbers 58/331, 58/845, 612/911 is

LCM of Numerators i.e. for 58,58,612 is 17748

GCF of denominators i.e. for 331,845,911 is 1.

Thus, LCM of Fractions is 17748.Finally, LCM of Fractions for 58/331, 58/845, 612/911 is 17748.