Least Common Multiple of 412/378, 6473/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 412/378, 6473/522 quickly i.e. 2666876/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 412/378, 6473/522 is 2666876/18.

LCM(412/378, 6473/522) = 2666876/18

LCM of 412/378, 6473/522

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 412/378,6473/522

Given numbers are 412/378,6473/522

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 412,6473

Least Common Multiple of Numerators i.e. LCM of 412,6473 is 2666876.

GCF of Denominators means GCF of 378,522 as per the given fractions.

GCF of 378,522 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 412,6473

LCM of Fractions 412/378,6473/522 is 2666876/18

Given numbers has no common factors except 1. So, there LCM is their product i.e 2666876

Least Common Multiple of 412,6473 with GCF Formula

Least Common Multiple of 412,6473 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 412,6473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,6473) = 1

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

GCF(412,6473) x common factors =1 x 1 = 1

LCM(412,6473) = ( 412 × 6473 ) / 1

LCM(412,6473) = 2666876 / 1

LCM(412,6473) = 2666876


Lets's calculate GCF of 378,522

2 378, 522
3 189, 261
3 63, 87
21, 29

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2666876/18

Therefore the LCM of Fractions 412/378,6473/522 is 2666876/18

Greatest Common Factor of 378,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,522 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 378,522 . The biggest common factor number is the GCF number.
So the greatest common factor 378,522 is 18.


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 412/378, 6473/522

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 412/378, 6473/522?

Answer: LCM of Numerators as per given numbers 412/378, 6473/522 is

LCM of Numerators i.e. for 412,6473 is 2666876

GCF of denominators i.e. for 378,522 is 18.

Thus, LCM of Fractions is 2666876/18.Finally, LCM of Fractions for 412/378, 6473/522 is 2666876/18.