Least Common Multiple of 8286/480, 8699/906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8286/480, 8699/906 quickly i.e. 12013319 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8286/480, 8699/906 is 12013319.

LCM(8286/480, 8699/906) = 12013319

LCM of 8286/480, 8699/906

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 8286/480,8699/906

Given numbers are 8286/480,8699/906

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 8286,8699

Least Common Multiple of Numerators i.e. LCM of 8286,8699 is 72079914.

GCF of Denominators means GCF of 480,906 as per the given fractions.

GCF of 480,906 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8286,8699

LCM of Fractions 8286/480,8699/906 is 12013319

Given numbers has no common factors except 1. So, there LCM is their product i.e 72079914

Least Common Multiple of 8286,8699 with GCF Formula

Least Common Multiple of 8286,8699 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 8286,8699 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8286,8699) = 1

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

GCF(8286,8699) x common factors =1 x 1 = 1

LCM(8286,8699) = ( 8286 × 8699 ) / 1

LCM(8286,8699) = 72079914 / 1

LCM(8286,8699) = 72079914


Lets's calculate GCF of 480,906

2 480, 906
3 240, 453
80, 151

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72079914/6

Therefore the LCM of Fractions 8286/480,8699/906 is 12013319

Greatest Common Factor of 480,906 By Matching Biggest Common Factor Method

Greatest Common Factor of 480,906 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 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Greatest Common Factor

We found the factors 480,906 . The biggest common factor number is the GCF number.
So the greatest common factor 480,906 is 6.


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 8286/480, 8699/906

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 8286/480, 8699/906?

Answer: LCM of Numerators as per given numbers 8286/480, 8699/906 is

LCM of Numerators i.e. for 8286,8699 is 72079914

GCF of denominators i.e. for 480,906 is 6.

Thus, LCM of Fractions is 12013319.Finally, LCM of Fractions for 8286/480, 8699/906 is 12013319.