Least Common Multiple of 58/189, 12/249, 858/859

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/189, 12/249, 858/859 quickly i.e. 49764 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/189, 12/249, 858/859 is 49764.

LCM(58/189, 12/249, 858/859) = 49764

LCM of 58/189, 12/249, 858/859

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 58/189,12/249,858/859

Given numbers are 58/189,12/249,858/859

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 58,12,858

Least Common Multiple of Numerators i.e. LCM of 58,12,858 is 49764.

GCF of Denominators means GCF of 189,249,859 as per the given fractions.

GCF of 189,249,859 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,12,858

LCM of Fractions 58/189,12/249,858/859 is 49764

2 58, 12, 858
3 29, 6, 429
29, 2, 143

∴ So the LCM of the given numbers is 2 x 3 x 29 x 2 x 143 = 49764

Least Common Multiple of 58,12,858 with GCF Formula

Least Common Multiple of 58,12,858 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 58,12,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,12,858) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(58,12,858) x common factors =2 x 6 = 12

LCM(58,12,858) = ( 58 × 12 × 858 ) / 12

LCM(58,12,858) = 597168 / 12

LCM(58,12,858) = 49764


Lets's calculate GCF of 189,249,859

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49764/1

Therefore the LCM of Fractions 58/189,12/249,858/859 is 49764

Greatest Common Factor of 189,249,859 By Matching Biggest Common Factor Method

Greatest Common Factor of 189,249,859 By Matching Biggest Common Factor Method

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Factors of 859

List of positive integer factors of 859 that divides 859 without a remainder.

1,859

Greatest Common Factor

We found the factors 189,249,859 . The biggest common factor number is the GCF number.
So the greatest common factor 189,249,859 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 58/189, 12/249, 858/859

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 58/189, 12/249, 858/859?

Answer: LCM of Numerators as per given numbers 58/189, 12/249, 858/859 is

LCM of Numerators i.e. for 58,12,858 is 49764

GCF of denominators i.e. for 189,249,859 is 1.

Thus, LCM of Fractions is 49764.Finally, LCM of Fractions for 58/189, 12/249, 858/859 is 49764.