Least Common Multiple of 58/26, 31/30, 71/40, 23/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/26, 31/30, 71/40, 23/872 quickly i.e. 1468067 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/26, 31/30, 71/40, 23/872 is 1468067.

LCM(58/26, 31/30, 71/40, 23/872) = 1468067

LCM of 58/26, 31/30, 71/40, 23/872

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 58/26,31/30,71/40,23/872

Given numbers are 58/26,31/30,71/40,23/872

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 58,31,71,23

Least Common Multiple of Numerators i.e. LCM of 58,31,71,23 is 2936134.

GCF of Denominators means GCF of 26,30,40,872 as per the given fractions.

GCF of 26,30,40,872 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,31,71,23

LCM of Fractions 58/26,31/30,71/40,23/872 is 1468067

Given numbers has no common factors except 1. So, there LCM is their product i.e 2936134

Least Common Multiple of 58,31,71,23 with GCF Formula

Least Common Multiple of 58,31,71,23 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 58,31,71,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,31,71,23) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(58,31,71,23) x common factors =1 x 1 = 1

LCM(58,31,71,23) = ( 58 × 31 × 71 × 23 ) / 1

LCM(58,31,71,23) = 2936134 / 1

LCM(58,31,71,23) = 2936134


Lets's calculate GCF of 26,30,40,872

2 26, 30, 40, 872
13, 15, 20, 436

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2936134/2

Therefore the LCM of Fractions 58/26,31/30,71/40,23/872 is 1468067

Greatest Common Factor of 26,30,40,872 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,30,40,872 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors 26,30,40,872 . The biggest common factor number is the GCF number.
So the greatest common factor 26,30,40,872 is 2.


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 58/26, 31/30, 71/40, 23/872

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 58/26, 31/30, 71/40, 23/872?

Answer: LCM of Numerators as per given numbers 58/26, 31/30, 71/40, 23/872 is

LCM of Numerators i.e. for 58,31,71,23 is 2936134

GCF of denominators i.e. for 26,30,40,872 is 2.

Thus, LCM of Fractions is 1468067.Finally, LCM of Fractions for 58/26, 31/30, 71/40, 23/872 is 1468067.