Least Common Multiple of 58/11, 68/19, 117/129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/11, 68/19, 117/129 quickly i.e. 230724 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/11, 68/19, 117/129 is 230724.

LCM(58/11, 68/19, 117/129) = 230724

LCM of 58/11, 68/19, 117/129

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 58/11,68/19,117/129

Given numbers are 58/11,68/19,117/129

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 58,68,117

Least Common Multiple of Numerators i.e. LCM of 58,68,117 is 230724.

GCF of Denominators means GCF of 11,19,129 as per the given fractions.

GCF of 11,19,129 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,68,117

LCM of Fractions 58/11,68/19,117/129 is 230724

2 58, 68, 117
29, 34, 117

∴ So the LCM of the given numbers is 2 x 29 x 34 x 117 = 230724

Least Common Multiple of 58,68,117 with GCF Formula

Least Common Multiple of 58,68,117 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 58,68,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,68,117) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(58,68,117) x common factors =1 x 2 = 2

LCM(58,68,117) = ( 58 × 68 × 117 ) / 2

LCM(58,68,117) = 461448 / 2

LCM(58,68,117) = 230724


Lets's calculate GCF of 11,19,129

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 230724/1

Therefore the LCM of Fractions 58/11,68/19,117/129 is 230724

Greatest Common Factor of 11,19,129 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,19,129 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 19

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

1,19

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Greatest Common Factor

We found the factors 11,19,129 . The biggest common factor number is the GCF number.
So the greatest common factor 11,19,129 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 58/11, 68/19, 117/129

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 58/11, 68/19, 117/129?

Answer: LCM of Numerators as per given numbers 58/11, 68/19, 117/129 is

LCM of Numerators i.e. for 58,68,117 is 230724

GCF of denominators i.e. for 11,19,129 is 1.

Thus, LCM of Fractions is 230724.Finally, LCM of Fractions for 58/11, 68/19, 117/129 is 230724.