Least Common Multiple of 20/405, 277/783, 351/813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/405, 277/783, 351/813 quickly i.e. 648180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/405, 277/783, 351/813 is 648180.

LCM(20/405, 277/783, 351/813) = 648180

LCM of 20/405, 277/783, 351/813

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 20/405,277/783,351/813

Given numbers are 20/405,277/783,351/813

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 20,277,351

Least Common Multiple of Numerators i.e. LCM of 20,277,351 is 1944540.

GCF of Denominators means GCF of 405,783,813 as per the given fractions.

GCF of 405,783,813 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,277,351

LCM of Fractions 20/405,277/783,351/813 is 648180

Given numbers has no common factors except 1. So, there LCM is their product i.e 1944540

Least Common Multiple of 20,277,351 with GCF Formula

Least Common Multiple of 20,277,351 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 20,277,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,277,351) = 1

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

GCF(20,277,351) x common factors =1 x 1 = 1

LCM(20,277,351) = ( 20 × 277 × 351 ) / 1

LCM(20,277,351) = 1944540 / 1

LCM(20,277,351) = 1944540


Lets's calculate GCF of 405,783,813

3 405, 783, 813
135, 261, 271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1944540/3

Therefore the LCM of Fractions 20/405,277/783,351/813 is 648180

Greatest Common Factor of 405,783,813 By Matching Biggest Common Factor Method

Greatest Common Factor of 405,783,813 By Matching Biggest Common Factor Method

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Greatest Common Factor

We found the factors 405,783,813 . The biggest common factor number is the GCF number.
So the greatest common factor 405,783,813 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 20/405, 277/783, 351/813

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 20/405, 277/783, 351/813?

Answer: LCM of Numerators as per given numbers 20/405, 277/783, 351/813 is

LCM of Numerators i.e. for 20,277,351 is 1944540

GCF of denominators i.e. for 405,783,813 is 3.

Thus, LCM of Fractions is 648180.Finally, LCM of Fractions for 20/405, 277/783, 351/813 is 648180.