Least Common Multiple of 5414/384, 3519/3060

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5414/384, 3519/3060 quickly i.e. 19051866/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5414/384, 3519/3060 is 19051866/12.

LCM(5414/384, 3519/3060) = 19051866/12

LCM of 5414/384, 3519/3060

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 5414/384,3519/3060

Given numbers are 5414/384,3519/3060

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 5414,3519

Least Common Multiple of Numerators i.e. LCM of 5414,3519 is 19051866.

GCF of Denominators means GCF of 384,3060 as per the given fractions.

GCF of 384,3060 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5414,3519

LCM of Fractions 5414/384,3519/3060 is 19051866/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 19051866

Least Common Multiple of 5414,3519 with GCF Formula

Least Common Multiple of 5414,3519 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 5414,3519 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5414,3519) = 1

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

GCF(5414,3519) x common factors =1 x 1 = 1

LCM(5414,3519) = ( 5414 × 3519 ) / 1

LCM(5414,3519) = 19051866 / 1

LCM(5414,3519) = 19051866


Lets's calculate GCF of 384,3060

2 384, 3060
2 192, 1530
3 96, 765
32, 255

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19051866/12

Therefore the LCM of Fractions 5414/384,3519/3060 is 19051866/12

Greatest Common Factor of 384,3060 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,3060 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 3060

List of positive integer factors of 3060 that divides 3060 without a remainder.

1,2,3,4,5,6,9,10,12,15,17,18,20,30,34,36,45,51,60,68,85,90,102,153,170,180,204,255,306,340,510,612,765,1020,1530,3060

Greatest Common Factor

We found the factors 384,3060 . The biggest common factor number is the GCF number.
So the greatest common factor 384,3060 is 12.


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 5414/384, 3519/3060

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 5414/384, 3519/3060?

Answer: LCM of Numerators as per given numbers 5414/384, 3519/3060 is

LCM of Numerators i.e. for 5414,3519 is 19051866

GCF of denominators i.e. for 384,3060 is 12.

Thus, LCM of Fractions is 19051866/12.Finally, LCM of Fractions for 5414/384, 3519/3060 is 19051866/12.