Least Common Multiple of 205/83, 178/72, 659/936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 205/83, 178/72, 659/936 quickly i.e. 24046910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 205/83, 178/72, 659/936 is 24046910.

LCM(205/83, 178/72, 659/936) = 24046910

LCM of 205/83, 178/72, 659/936

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 205/83,178/72,659/936

Given numbers are 205/83,178/72,659/936

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 205,178,659

Least Common Multiple of Numerators i.e. LCM of 205,178,659 is 24046910.

GCF of Denominators means GCF of 83,72,936 as per the given fractions.

GCF of 83,72,936 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 205,178,659

LCM of Fractions 205/83,178/72,659/936 is 24046910

Given numbers has no common factors except 1. So, there LCM is their product i.e 24046910

Least Common Multiple of 205,178,659 with GCF Formula

Least Common Multiple of 205,178,659 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 205,178,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,178,659) = 1

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

GCF(205,178,659) x common factors =1 x 1 = 1

LCM(205,178,659) = ( 205 × 178 × 659 ) / 1

LCM(205,178,659) = 24046910 / 1

LCM(205,178,659) = 24046910


Lets's calculate GCF of 83,72,936

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24046910/1

Therefore the LCM of Fractions 205/83,178/72,659/936 is 24046910

Greatest Common Factor of 83,72,936 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,72,936 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Greatest Common Factor

We found the factors 83,72,936 . The biggest common factor number is the GCF number.
So the greatest common factor 83,72,936 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 205/83, 178/72, 659/936

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 205/83, 178/72, 659/936?

Answer: LCM of Numerators as per given numbers 205/83, 178/72, 659/936 is

LCM of Numerators i.e. for 205,178,659 is 24046910

GCF of denominators i.e. for 83,72,936 is 1.

Thus, LCM of Fractions is 24046910.Finally, LCM of Fractions for 205/83, 178/72, 659/936 is 24046910.