Least Common Multiple of 58/26, 169/56, 389/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/26, 169/56, 389/118 quickly i.e. 1906489 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, 169/56, 389/118 is 1906489.

LCM(58/26, 169/56, 389/118) = 1906489

LCM of 58/26, 169/56, 389/118

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 58/26,169/56,389/118

Given numbers are 58/26,169/56,389/118

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 58,169,389

Least Common Multiple of Numerators i.e. LCM of 58,169,389 is 3812978.

GCF of Denominators means GCF of 26,56,118 as per the given fractions.

GCF of 26,56,118 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,169,389

LCM of Fractions 58/26,169/56,389/118 is 1906489

Given numbers has no common factors except 1. So, there LCM is their product i.e 3812978

Least Common Multiple of 58,169,389 with GCF Formula

Least Common Multiple of 58,169,389 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 58,169,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,169,389) = 1

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

GCF(58,169,389) x common factors =1 x 1 = 1

LCM(58,169,389) = ( 58 × 169 × 389 ) / 1

LCM(58,169,389) = 3812978 / 1

LCM(58,169,389) = 3812978


Lets's calculate GCF of 26,56,118

2 26, 56, 118
13, 28, 59

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3812978/2

Therefore the LCM of Fractions 58/26,169/56,389/118 is 1906489

Greatest Common Factor of 26,56,118 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,56,118 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 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Greatest Common Factor

We found the factors 26,56,118 . The biggest common factor number is the GCF number.
So the greatest common factor 26,56,118 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, 169/56, 389/118

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, 169/56, 389/118?

Answer: LCM of Numerators as per given numbers 58/26, 169/56, 389/118 is

LCM of Numerators i.e. for 58,169,389 is 3812978

GCF of denominators i.e. for 26,56,118 is 2.

Thus, LCM of Fractions is 1906489.Finally, LCM of Fractions for 58/26, 169/56, 389/118 is 1906489.