Least Common Multiple of 87/205, 207/698, 183/404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/205, 207/698, 183/404 quickly i.e. 366183 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/205, 207/698, 183/404 is 366183.

LCM(87/205, 207/698, 183/404) = 366183

LCM of 87/205, 207/698, 183/404

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 87/205,207/698,183/404

Given numbers are 87/205,207/698,183/404

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 87,207,183

Least Common Multiple of Numerators i.e. LCM of 87,207,183 is 366183.

GCF of Denominators means GCF of 205,698,404 as per the given fractions.

GCF of 205,698,404 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,207,183

LCM of Fractions 87/205,207/698,183/404 is 366183

3 87, 207, 183
29, 69, 61

∴ So the LCM of the given numbers is 3 x 29 x 69 x 61 = 366183

Least Common Multiple of 87,207,183 with GCF Formula

Least Common Multiple of 87,207,183 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 87,207,183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,207,183) = 3

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

GCF(87,207,183) x common factors =3 x 3 = 9

LCM(87,207,183) = ( 87 × 207 × 183 ) / 9

LCM(87,207,183) = 3295647 / 9

LCM(87,207,183) = 366183


Lets's calculate GCF of 205,698,404

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 366183/1

Therefore the LCM of Fractions 87/205,207/698,183/404 is 366183

Greatest Common Factor of 205,698,404 By Matching Biggest Common Factor Method

Greatest Common Factor of 205,698,404 By Matching Biggest Common Factor Method

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Greatest Common Factor

We found the factors 205,698,404 . The biggest common factor number is the GCF number.
So the greatest common factor 205,698,404 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 87/205, 207/698, 183/404

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 87/205, 207/698, 183/404?

Answer: LCM of Numerators as per given numbers 87/205, 207/698, 183/404 is

LCM of Numerators i.e. for 87,207,183 is 366183

GCF of denominators i.e. for 205,698,404 is 1.

Thus, LCM of Fractions is 366183.Finally, LCM of Fractions for 87/205, 207/698, 183/404 is 366183.