Least Common Multiple of 29/135, 571/527, 809/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/135, 571/527, 809/182 quickly i.e. 13396231 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/135, 571/527, 809/182 is 13396231.

LCM(29/135, 571/527, 809/182) = 13396231

LCM of 29/135, 571/527, 809/182

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 29/135,571/527,809/182

Given numbers are 29/135,571/527,809/182

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 29,571,809

Least Common Multiple of Numerators i.e. LCM of 29,571,809 is 13396231.

GCF of Denominators means GCF of 135,527,182 as per the given fractions.

GCF of 135,527,182 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,571,809

LCM of Fractions 29/135,571/527,809/182 is 13396231

Given numbers has no common factors except 1. So, there LCM is their product i.e 13396231

Least Common Multiple of 29,571,809 with GCF Formula

Least Common Multiple of 29,571,809 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 29,571,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,571,809) = 1

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

GCF(29,571,809) x common factors =1 x 1 = 1

LCM(29,571,809) = ( 29 × 571 × 809 ) / 1

LCM(29,571,809) = 13396231 / 1

LCM(29,571,809) = 13396231


Lets's calculate GCF of 135,527,182

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13396231/1

Therefore the LCM of Fractions 29/135,571/527,809/182 is 13396231

Greatest Common Factor of 135,527,182 By Matching Biggest Common Factor Method

Greatest Common Factor of 135,527,182 By Matching Biggest Common Factor Method

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 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Greatest Common Factor

We found the factors 135,527,182 . The biggest common factor number is the GCF number.
So the greatest common factor 135,527,182 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 29/135, 571/527, 809/182

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 29/135, 571/527, 809/182?

Answer: LCM of Numerators as per given numbers 29/135, 571/527, 809/182 is

LCM of Numerators i.e. for 29,571,809 is 13396231

GCF of denominators i.e. for 135,527,182 is 1.

Thus, LCM of Fractions is 13396231.Finally, LCM of Fractions for 29/135, 571/527, 809/182 is 13396231.