Least Common Multiple of 87/365, 43/712, 204/613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/365, 43/712, 204/613 quickly i.e. 254388 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/365, 43/712, 204/613 is 254388.

LCM(87/365, 43/712, 204/613) = 254388

LCM of 87/365, 43/712, 204/613

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 87/365,43/712,204/613

Given numbers are 87/365,43/712,204/613

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 87,43,204

Least Common Multiple of Numerators i.e. LCM of 87,43,204 is 254388.

GCF of Denominators means GCF of 365,712,613 as per the given fractions.

GCF of 365,712,613 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,43,204

LCM of Fractions 87/365,43/712,204/613 is 254388

3 87, 43, 204
29, 43, 68

∴ So the LCM of the given numbers is 3 x 29 x 43 x 68 = 254388

Least Common Multiple of 87,43,204 with GCF Formula

Least Common Multiple of 87,43,204 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 87,43,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,43,204) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(87,43,204) x common factors =1 x 3 = 3

LCM(87,43,204) = ( 87 × 43 × 204 ) / 3

LCM(87,43,204) = 763164 / 3

LCM(87,43,204) = 254388


Lets's calculate GCF of 365,712,613

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 254388/1

Therefore the LCM of Fractions 87/365,43/712,204/613 is 254388

Greatest Common Factor of 365,712,613 By Matching Biggest Common Factor Method

Greatest Common Factor of 365,712,613 By Matching Biggest Common Factor Method

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Factors of 613

List of positive integer factors of 613 that divides 613 without a remainder.

1,613

Greatest Common Factor

We found the factors 365,712,613 . The biggest common factor number is the GCF number.
So the greatest common factor 365,712,613 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 87/365, 43/712, 204/613

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 87/365, 43/712, 204/613?

Answer: LCM of Numerators as per given numbers 87/365, 43/712, 204/613 is

LCM of Numerators i.e. for 87,43,204 is 254388

GCF of denominators i.e. for 365,712,613 is 1.

Thus, LCM of Fractions is 254388.Finally, LCM of Fractions for 87/365, 43/712, 204/613 is 254388.