Least Common Multiple of 8614/480, 5412/3328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8614/480, 5412/3328 quickly i.e. 23309484/32 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8614/480, 5412/3328 is 23309484/32.

LCM(8614/480, 5412/3328) = 23309484/32

LCM of 8614/480, 5412/3328

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 8614/480,5412/3328

Given numbers are 8614/480,5412/3328

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 8614,5412

Least Common Multiple of Numerators i.e. LCM of 8614,5412 is 23309484.

GCF of Denominators means GCF of 480,3328 as per the given fractions.

GCF of 480,3328 is 32 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8614,5412

LCM of Fractions 8614/480,5412/3328 is 23309484/32

2 8614, 5412
4307, 2706

∴ So the LCM of the given numbers is 2 x 4307 x 2706 = 23309484

Least Common Multiple of 8614,5412 with GCF Formula

Least Common Multiple of 8614,5412 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 8614,5412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8614,5412) = 2

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

GCF(8614,5412) x common factors =2 x 1 = 2

LCM(8614,5412) = ( 8614 × 5412 ) / 2

LCM(8614,5412) = 46618968 / 2

LCM(8614,5412) = 23309484


Lets's calculate GCF of 480,3328

2 480, 3328
2 240, 1664
2 120, 832
2 60, 416
2 30, 208
15, 104

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23309484/32

Therefore the LCM of Fractions 8614/480,5412/3328 is 23309484/32

Greatest Common Factor of 480,3328 By Matching Biggest Common Factor Method

Greatest Common Factor of 480,3328 By Matching Biggest Common Factor Method

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Factors of 3328

List of positive integer factors of 3328 that divides 3328 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,128,208,256,416,832,1664,3328

Greatest Common Factor

We found the factors 480,3328 . The biggest common factor number is the GCF number.
So the greatest common factor 480,3328 is 32.


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 8614/480, 5412/3328

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 8614/480, 5412/3328?

Answer: LCM of Numerators as per given numbers 8614/480, 5412/3328 is

LCM of Numerators i.e. for 8614,5412 is 23309484

GCF of denominators i.e. for 480,3328 is 32.

Thus, LCM of Fractions is 23309484/32.Finally, LCM of Fractions for 8614/480, 5412/3328 is 23309484/32.