Least Common Multiple of 831/58, 186/7202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 831/58, 186/7202 quickly i.e. 25761 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 831/58, 186/7202 is 25761.

LCM(831/58, 186/7202) = 25761

LCM of 831/58, 186/7202

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 831/58,186/7202

Given numbers are 831/58,186/7202

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 831,186

Least Common Multiple of Numerators i.e. LCM of 831,186 is 51522.

GCF of Denominators means GCF of 58,7202 as per the given fractions.

GCF of 58,7202 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 831,186

LCM of Fractions 831/58,186/7202 is 25761

3 831, 186
277, 62

∴ So the LCM of the given numbers is 3 x 277 x 62 = 51522

Least Common Multiple of 831,186 with GCF Formula

Least Common Multiple of 831,186 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 831,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(831,186) = 3

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

GCF(831,186) x common factors =3 x 1 = 3

LCM(831,186) = ( 831 × 186 ) / 3

LCM(831,186) = 154566 / 3

LCM(831,186) = 51522


Lets's calculate GCF of 58,7202

2 58, 7202
29, 3601

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51522/2

Therefore the LCM of Fractions 831/58,186/7202 is 25761

Greatest Common Factor of 58,7202 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,7202 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 7202

List of positive integer factors of 7202 that divides 7202 without a remainder.

1,2,13,26,277,554,3601,7202

Greatest Common Factor

We found the factors 58,7202 . The biggest common factor number is the GCF number.
So the greatest common factor 58,7202 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 831/58, 186/7202

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 831/58, 186/7202?

Answer: LCM of Numerators as per given numbers 831/58, 186/7202 is

LCM of Numerators i.e. for 831,186 is 51522

GCF of denominators i.e. for 58,7202 is 2.

Thus, LCM of Fractions is 25761.Finally, LCM of Fractions for 831/58, 186/7202 is 25761.