Least Common Multiple of 50/405, 3072/5677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/405, 3072/5677 quickly i.e. 76800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/405, 3072/5677 is 76800.

LCM(50/405, 3072/5677) = 76800

LCM of 50/405, 3072/5677

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 50/405,3072/5677

Given numbers are 50/405,3072/5677

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 50,3072

Least Common Multiple of Numerators i.e. LCM of 50,3072 is 76800.

GCF of Denominators means GCF of 405,5677 as per the given fractions.

GCF of 405,5677 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,3072

LCM of Fractions 50/405,3072/5677 is 76800

2 50, 3072
25, 1536

∴ So the LCM of the given numbers is 2 x 25 x 1536 = 76800

Least Common Multiple of 50,3072 with GCF Formula

Least Common Multiple of 50,3072 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 50,3072 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,3072) = 2

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

GCF(50,3072) x common factors =2 x 1 = 2

LCM(50,3072) = ( 50 × 3072 ) / 2

LCM(50,3072) = 153600 / 2

LCM(50,3072) = 76800


Lets's calculate GCF of 405,5677

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76800/1

Therefore the LCM of Fractions 50/405,3072/5677 is 76800

Greatest Common Factor of 405,5677 By Matching Biggest Common Factor Method

Greatest Common Factor of 405,5677 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 5677

List of positive integer factors of 5677 that divides 5677 without a remainder.

1,7,811,5677

Greatest Common Factor

We found the factors 405,5677 . The biggest common factor number is the GCF number.
So the greatest common factor 405,5677 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 50/405, 3072/5677

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 50/405, 3072/5677?

Answer: LCM of Numerators as per given numbers 50/405, 3072/5677 is

LCM of Numerators i.e. for 50,3072 is 76800

GCF of denominators i.e. for 405,5677 is 1.

Thus, LCM of Fractions is 76800.Finally, LCM of Fractions for 50/405, 3072/5677 is 76800.