Least Common Multiple of 814/135, 389/297, 789/407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 814/135, 389/297, 789/407 quickly i.e. 249833694 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 814/135, 389/297, 789/407 is 249833694.

LCM(814/135, 389/297, 789/407) = 249833694

LCM of 814/135, 389/297, 789/407

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 814/135,389/297,789/407

Given numbers are 814/135,389/297,789/407

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 814,389,789

Least Common Multiple of Numerators i.e. LCM of 814,389,789 is 249833694.

GCF of Denominators means GCF of 135,297,407 as per the given fractions.

GCF of 135,297,407 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 814,389,789

LCM of Fractions 814/135,389/297,789/407 is 249833694

Given numbers has no common factors except 1. So, there LCM is their product i.e 249833694

Least Common Multiple of 814,389,789 with GCF Formula

Least Common Multiple of 814,389,789 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 814,389,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,389,789) = 1

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

GCF(814,389,789) x common factors =1 x 1 = 1

LCM(814,389,789) = ( 814 × 389 × 789 ) / 1

LCM(814,389,789) = 249833694 / 1

LCM(814,389,789) = 249833694


Lets's calculate GCF of 135,297,407

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 249833694/1

Therefore the LCM of Fractions 814/135,389/297,789/407 is 249833694

Greatest Common Factor of 135,297,407 By Matching Biggest Common Factor Method

Greatest Common Factor of 135,297,407 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 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Greatest Common Factor

We found the factors 135,297,407 . The biggest common factor number is the GCF number.
So the greatest common factor 135,297,407 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 814/135, 389/297, 789/407

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 814/135, 389/297, 789/407?

Answer: LCM of Numerators as per given numbers 814/135, 389/297, 789/407 is

LCM of Numerators i.e. for 814,389,789 is 249833694

GCF of denominators i.e. for 135,297,407 is 1.

Thus, LCM of Fractions is 249833694.Finally, LCM of Fractions for 814/135, 389/297, 789/407 is 249833694.