Least Common Multiple of 135/690, 193/621, 627/573

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 135/690, 193/621, 627/573 quickly i.e. 1815165 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 135/690, 193/621, 627/573 is 1815165.

LCM(135/690, 193/621, 627/573) = 1815165

LCM of 135/690, 193/621, 627/573

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 135/690,193/621,627/573

Given numbers are 135/690,193/621,627/573

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 135,193,627

Least Common Multiple of Numerators i.e. LCM of 135,193,627 is 5445495.

GCF of Denominators means GCF of 690,621,573 as per the given fractions.

GCF of 690,621,573 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 135,193,627

LCM of Fractions 135/690,193/621,627/573 is 1815165

3 135, 193, 627
45, 193, 209

∴ So the LCM of the given numbers is 3 x 45 x 193 x 209 = 5445495

Least Common Multiple of 135,193,627 with GCF Formula

Least Common Multiple of 135,193,627 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 135,193,627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(135,193,627) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(135,193,627) x common factors =1 x 3 = 3

LCM(135,193,627) = ( 135 × 193 × 627 ) / 3

LCM(135,193,627) = 16336485 / 3

LCM(135,193,627) = 5445495


Lets's calculate GCF of 690,621,573

3 690, 621, 573
230, 207, 191

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5445495/3

Therefore the LCM of Fractions 135/690,193/621,627/573 is 1815165

Greatest Common Factor of 690,621,573 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,621,573 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1,3,191,573

Greatest Common Factor

We found the factors 690,621,573 . The biggest common factor number is the GCF number.
So the greatest common factor 690,621,573 is 3.


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 135/690, 193/621, 627/573

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 135/690, 193/621, 627/573?

Answer: LCM of Numerators as per given numbers 135/690, 193/621, 627/573 is

LCM of Numerators i.e. for 135,193,627 is 5445495

GCF of denominators i.e. for 690,621,573 is 3.

Thus, LCM of Fractions is 1815165.Finally, LCM of Fractions for 135/690, 193/621, 627/573 is 1815165.