Least Common Multiple of 87/811, 88/135, 394/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/811, 88/135, 394/198 quickly i.e. 1508232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/811, 88/135, 394/198 is 1508232.

LCM(87/811, 88/135, 394/198) = 1508232

LCM of 87/811, 88/135, 394/198

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 87/811,88/135,394/198

Given numbers are 87/811,88/135,394/198

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 87,88,394

Least Common Multiple of Numerators i.e. LCM of 87,88,394 is 1508232.

GCF of Denominators means GCF of 811,135,198 as per the given fractions.

GCF of 811,135,198 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,88,394

LCM of Fractions 87/811,88/135,394/198 is 1508232

2 87, 88, 394
87, 44, 197

∴ So the LCM of the given numbers is 2 x 87 x 44 x 197 = 1508232

Least Common Multiple of 87,88,394 with GCF Formula

Least Common Multiple of 87,88,394 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 87,88,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,88,394) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(87,88,394) x common factors =1 x 2 = 2

LCM(87,88,394) = ( 87 × 88 × 394 ) / 2

LCM(87,88,394) = 3016464 / 2

LCM(87,88,394) = 1508232


Lets's calculate GCF of 811,135,198

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1508232/1

Therefore the LCM of Fractions 87/811,88/135,394/198 is 1508232

Greatest Common Factor of 811,135,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 811,135,198 By Matching Biggest Common Factor Method

Factors of 811

List of positive integer factors of 811 that divides 811 without a remainder.

1,811

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors 811,135,198 . The biggest common factor number is the GCF number.
So the greatest common factor 811,135,198 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 87/811, 88/135, 394/198

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 87/811, 88/135, 394/198?

Answer: LCM of Numerators as per given numbers 87/811, 88/135, 394/198 is

LCM of Numerators i.e. for 87,88,394 is 1508232

GCF of denominators i.e. for 811,135,198 is 1.

Thus, LCM of Fractions is 1508232.Finally, LCM of Fractions for 87/811, 88/135, 394/198 is 1508232.