Least Common Multiple of 187/102, 323/480, 204/595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 187/102, 323/480, 204/595 quickly i.e. 42636 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 187/102, 323/480, 204/595 is 42636.

LCM(187/102, 323/480, 204/595) = 42636

LCM of 187/102, 323/480, 204/595

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 187/102,323/480,204/595

Given numbers are 187/102,323/480,204/595

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 187,323,204

Least Common Multiple of Numerators i.e. LCM of 187,323,204 is 42636.

GCF of Denominators means GCF of 102,480,595 as per the given fractions.

GCF of 102,480,595 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 187,323,204

LCM of Fractions 187/102,323/480,204/595 is 42636

17 187, 323, 204
11, 19, 12

∴ So the LCM of the given numbers is 17 x 11 x 19 x 12 = 42636

Least Common Multiple of 187,323,204 with GCF Formula

Least Common Multiple of 187,323,204 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 187,323,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(187,323,204) = 17

common factors(in case of two or more numbers have common factors) = 17

GCF(187,323,204) x common factors =17 x 17 = 289

LCM(187,323,204) = ( 187 × 323 × 204 ) / 289

LCM(187,323,204) = 12321804 / 289

LCM(187,323,204) = 42636


Lets's calculate GCF of 102,480,595

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42636/1

Therefore the LCM of Fractions 187/102,323/480,204/595 is 42636

Greatest Common Factor of 102,480,595 By Matching Biggest Common Factor Method

Greatest Common Factor of 102,480,595 By Matching Biggest Common Factor Method

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Greatest Common Factor

We found the factors 102,480,595 . The biggest common factor number is the GCF number.
So the greatest common factor 102,480,595 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 187/102, 323/480, 204/595

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 187/102, 323/480, 204/595?

Answer: LCM of Numerators as per given numbers 187/102, 323/480, 204/595 is

LCM of Numerators i.e. for 187,323,204 is 42636

GCF of denominators i.e. for 102,480,595 is 1.

Thus, LCM of Fractions is 42636.Finally, LCM of Fractions for 187/102, 323/480, 204/595 is 42636.