Least Common Multiple of 135/367, 622/922, 686/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 135/367, 622/922, 686/418 quickly i.e. 28801710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 135/367, 622/922, 686/418 is 28801710.

LCM(135/367, 622/922, 686/418) = 28801710

LCM of 135/367, 622/922, 686/418

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 135/367,622/922,686/418

Given numbers are 135/367,622/922,686/418

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 135,622,686

Least Common Multiple of Numerators i.e. LCM of 135,622,686 is 28801710.

GCF of Denominators means GCF of 367,922,418 as per the given fractions.

GCF of 367,922,418 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 135,622,686

LCM of Fractions 135/367,622/922,686/418 is 28801710

2 135, 622, 686
135, 311, 343

∴ So the LCM of the given numbers is 2 x 135 x 311 x 343 = 28801710

Least Common Multiple of 135,622,686 with GCF Formula

Least Common Multiple of 135,622,686 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 135,622,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(135,622,686) = 1

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

GCF(135,622,686) x common factors =1 x 2 = 2

LCM(135,622,686) = ( 135 × 622 × 686 ) / 2

LCM(135,622,686) = 57603420 / 2

LCM(135,622,686) = 28801710


Lets's calculate GCF of 367,922,418

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28801710/1

Therefore the LCM of Fractions 135/367,622/922,686/418 is 28801710

Greatest Common Factor of 367,922,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 367,922,418 By Matching Biggest Common Factor Method

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 367,922,418 . The biggest common factor number is the GCF number.
So the greatest common factor 367,922,418 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 135/367, 622/922, 686/418

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 135/367, 622/922, 686/418?

Answer: LCM of Numerators as per given numbers 135/367, 622/922, 686/418 is

LCM of Numerators i.e. for 135,622,686 is 28801710

GCF of denominators i.e. for 367,922,418 is 1.

Thus, LCM of Fractions is 28801710.Finally, LCM of Fractions for 135/367, 622/922, 686/418 is 28801710.