Least Common Multiple of 58/23, 616/72, 860/935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/23, 616/72, 860/935 quickly i.e. 3840760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/23, 616/72, 860/935 is 3840760.

LCM(58/23, 616/72, 860/935) = 3840760

LCM of 58/23, 616/72, 860/935

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 58/23,616/72,860/935

Given numbers are 58/23,616/72,860/935

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 58,616,860

Least Common Multiple of Numerators i.e. LCM of 58,616,860 is 3840760.

GCF of Denominators means GCF of 23,72,935 as per the given fractions.

GCF of 23,72,935 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,616,860

LCM of Fractions 58/23,616/72,860/935 is 3840760

2 58, 616, 860
2 29, 308, 430
29, 154, 215

∴ So the LCM of the given numbers is 2 x 2 x 29 x 154 x 215 = 3840760

Least Common Multiple of 58,616,860 with GCF Formula

Least Common Multiple of 58,616,860 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 58,616,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,616,860) = 2

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

GCF(58,616,860) x common factors =2 x 4 = 8

LCM(58,616,860) = ( 58 × 616 × 860 ) / 8

LCM(58,616,860) = 30726080 / 8

LCM(58,616,860) = 3840760


Lets's calculate GCF of 23,72,935

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3840760/1

Therefore the LCM of Fractions 58/23,616/72,860/935 is 3840760

Greatest Common Factor of 23,72,935 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,72,935 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Greatest Common Factor

We found the factors 23,72,935 . The biggest common factor number is the GCF number.
So the greatest common factor 23,72,935 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 58/23, 616/72, 860/935

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 58/23, 616/72, 860/935?

Answer: LCM of Numerators as per given numbers 58/23, 616/72, 860/935 is

LCM of Numerators i.e. for 58,616,860 is 3840760

GCF of denominators i.e. for 23,72,935 is 1.

Thus, LCM of Fractions is 3840760.Finally, LCM of Fractions for 58/23, 616/72, 860/935 is 3840760.