Least Common Multiple of 378/819, 5505/6436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 378/819, 5505/6436 quickly i.e. 693630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 378/819, 5505/6436 is 693630.

LCM(378/819, 5505/6436) = 693630

LCM of 378/819, 5505/6436

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 378/819,5505/6436

Given numbers are 378/819,5505/6436

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 378,5505

Least Common Multiple of Numerators i.e. LCM of 378,5505 is 693630.

GCF of Denominators means GCF of 819,6436 as per the given fractions.

GCF of 819,6436 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 378,5505

LCM of Fractions 378/819,5505/6436 is 693630

3 378, 5505
126, 1835

∴ So the LCM of the given numbers is 3 x 126 x 1835 = 693630

Least Common Multiple of 378,5505 with GCF Formula

Least Common Multiple of 378,5505 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 378,5505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,5505) = 3

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

GCF(378,5505) x common factors =3 x 1 = 3

LCM(378,5505) = ( 378 × 5505 ) / 3

LCM(378,5505) = 2080890 / 3

LCM(378,5505) = 693630


Lets's calculate GCF of 819,6436

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 693630/1

Therefore the LCM of Fractions 378/819,5505/6436 is 693630

Greatest Common Factor of 819,6436 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,6436 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 6436

List of positive integer factors of 6436 that divides 6436 without a remainder.

1,2,4,1609,3218,6436

Greatest Common Factor

We found the factors 819,6436 . The biggest common factor number is the GCF number.
So the greatest common factor 819,6436 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 378/819, 5505/6436

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 378/819, 5505/6436?

Answer: LCM of Numerators as per given numbers 378/819, 5505/6436 is

LCM of Numerators i.e. for 378,5505 is 693630

GCF of denominators i.e. for 819,6436 is 1.

Thus, LCM of Fractions is 693630.Finally, LCM of Fractions for 378/819, 5505/6436 is 693630.