Least Common Multiple of 39/523, 682/225, 362/185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/523, 682/225, 362/185 quickly i.e. 4814238 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/523, 682/225, 362/185 is 4814238.

LCM(39/523, 682/225, 362/185) = 4814238

LCM of 39/523, 682/225, 362/185

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 39/523,682/225,362/185

Given numbers are 39/523,682/225,362/185

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 39,682,362

Least Common Multiple of Numerators i.e. LCM of 39,682,362 is 4814238.

GCF of Denominators means GCF of 523,225,185 as per the given fractions.

GCF of 523,225,185 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,682,362

LCM of Fractions 39/523,682/225,362/185 is 4814238

2 39, 682, 362
39, 341, 181

∴ So the LCM of the given numbers is 2 x 39 x 341 x 181 = 4814238

Least Common Multiple of 39,682,362 with GCF Formula

Least Common Multiple of 39,682,362 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 39,682,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,682,362) = 1

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

GCF(39,682,362) x common factors =1 x 2 = 2

LCM(39,682,362) = ( 39 × 682 × 362 ) / 2

LCM(39,682,362) = 9628476 / 2

LCM(39,682,362) = 4814238


Lets's calculate GCF of 523,225,185

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4814238/1

Therefore the LCM of Fractions 39/523,682/225,362/185 is 4814238

Greatest Common Factor of 523,225,185 By Matching Biggest Common Factor Method

Greatest Common Factor of 523,225,185 By Matching Biggest Common Factor Method

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Greatest Common Factor

We found the factors 523,225,185 . The biggest common factor number is the GCF number.
So the greatest common factor 523,225,185 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 39/523, 682/225, 362/185

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 39/523, 682/225, 362/185?

Answer: LCM of Numerators as per given numbers 39/523, 682/225, 362/185 is

LCM of Numerators i.e. for 39,682,362 is 4814238

GCF of denominators i.e. for 523,225,185 is 1.

Thus, LCM of Fractions is 4814238.Finally, LCM of Fractions for 39/523, 682/225, 362/185 is 4814238.