Least Common Multiple of 204/178, 181/842, 755/718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 204/178, 181/842, 755/718 quickly i.e. 13938810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 204/178, 181/842, 755/718 is 13938810.

LCM(204/178, 181/842, 755/718) = 13938810

LCM of 204/178, 181/842, 755/718

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 204/178,181/842,755/718

Given numbers are 204/178,181/842,755/718

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 204,181,755

Least Common Multiple of Numerators i.e. LCM of 204,181,755 is 27877620.

GCF of Denominators means GCF of 178,842,718 as per the given fractions.

GCF of 178,842,718 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 204,181,755

LCM of Fractions 204/178,181/842,755/718 is 13938810

Given numbers has no common factors except 1. So, there LCM is their product i.e 27877620

Least Common Multiple of 204,181,755 with GCF Formula

Least Common Multiple of 204,181,755 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 204,181,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,181,755) = 1

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

GCF(204,181,755) x common factors =1 x 1 = 1

LCM(204,181,755) = ( 204 × 181 × 755 ) / 1

LCM(204,181,755) = 27877620 / 1

LCM(204,181,755) = 27877620


Lets's calculate GCF of 178,842,718

2 178, 842, 718
89, 421, 359

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27877620/2

Therefore the LCM of Fractions 204/178,181/842,755/718 is 13938810

Greatest Common Factor of 178,842,718 By Matching Biggest Common Factor Method

Greatest Common Factor of 178,842,718 By Matching Biggest Common Factor Method

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Greatest Common Factor

We found the factors 178,842,718 . The biggest common factor number is the GCF number.
So the greatest common factor 178,842,718 is 2.


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 204/178, 181/842, 755/718

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 204/178, 181/842, 755/718?

Answer: LCM of Numerators as per given numbers 204/178, 181/842, 755/718 is

LCM of Numerators i.e. for 204,181,755 is 27877620

GCF of denominators i.e. for 178,842,718 is 2.

Thus, LCM of Fractions is 13938810.Finally, LCM of Fractions for 204/178, 181/842, 755/718 is 13938810.