Least Common Multiple of 29/855, 421/194, 171/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/855, 421/194, 171/135 quickly i.e. 2087739 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/855, 421/194, 171/135 is 2087739.

LCM(29/855, 421/194, 171/135) = 2087739

LCM of 29/855, 421/194, 171/135

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 29/855,421/194,171/135

Given numbers are 29/855,421/194,171/135

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 29,421,171

Least Common Multiple of Numerators i.e. LCM of 29,421,171 is 2087739.

GCF of Denominators means GCF of 855,194,135 as per the given fractions.

GCF of 855,194,135 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,421,171

LCM of Fractions 29/855,421/194,171/135 is 2087739

Given numbers has no common factors except 1. So, there LCM is their product i.e 2087739

Least Common Multiple of 29,421,171 with GCF Formula

Least Common Multiple of 29,421,171 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 29,421,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,421,171) = 1

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

GCF(29,421,171) x common factors =1 x 1 = 1

LCM(29,421,171) = ( 29 × 421 × 171 ) / 1

LCM(29,421,171) = 2087739 / 1

LCM(29,421,171) = 2087739


Lets's calculate GCF of 855,194,135

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2087739/1

Therefore the LCM of Fractions 29/855,421/194,171/135 is 2087739

Greatest Common Factor of 855,194,135 By Matching Biggest Common Factor Method

Greatest Common Factor of 855,194,135 By Matching Biggest Common Factor Method

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Factors of 135

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

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

Greatest Common Factor

We found the factors 855,194,135 . The biggest common factor number is the GCF number.
So the greatest common factor 855,194,135 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 29/855, 421/194, 171/135

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 29/855, 421/194, 171/135?

Answer: LCM of Numerators as per given numbers 29/855, 421/194, 171/135 is

LCM of Numerators i.e. for 29,421,171 is 2087739

GCF of denominators i.e. for 855,194,135 is 1.

Thus, LCM of Fractions is 2087739.Finally, LCM of Fractions for 29/855, 421/194, 171/135 is 2087739.