Least Common Multiple of 8610/880, 4317/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8610/880, 4317/864 quickly i.e. 12389790/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8610/880, 4317/864 is 12389790/16.

LCM(8610/880, 4317/864) = 12389790/16

LCM of 8610/880, 4317/864

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 8610/880,4317/864

Given numbers are 8610/880,4317/864

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 8610,4317

Least Common Multiple of Numerators i.e. LCM of 8610,4317 is 12389790.

GCF of Denominators means GCF of 880,864 as per the given fractions.

GCF of 880,864 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8610,4317

LCM of Fractions 8610/880,4317/864 is 12389790/16

3 8610, 4317
2870, 1439

∴ So the LCM of the given numbers is 3 x 2870 x 1439 = 12389790

Least Common Multiple of 8610,4317 with GCF Formula

Least Common Multiple of 8610,4317 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 8610,4317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8610,4317) = 3

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

GCF(8610,4317) x common factors =3 x 1 = 3

LCM(8610,4317) = ( 8610 × 4317 ) / 3

LCM(8610,4317) = 37169370 / 3

LCM(8610,4317) = 12389790


Lets's calculate GCF of 880,864

2 880, 864
2 440, 432
2 220, 216
2 110, 108
55, 54

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12389790/16

Therefore the LCM of Fractions 8610/880,4317/864 is 12389790/16

Greatest Common Factor of 880,864 By Matching Biggest Common Factor Method

Greatest Common Factor of 880,864 By Matching Biggest Common Factor Method

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Greatest Common Factor

We found the factors 880,864 . The biggest common factor number is the GCF number.
So the greatest common factor 880,864 is 16.


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 8610/880, 4317/864

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 8610/880, 4317/864?

Answer: LCM of Numerators as per given numbers 8610/880, 4317/864 is

LCM of Numerators i.e. for 8610,4317 is 12389790

GCF of denominators i.e. for 880,864 is 16.

Thus, LCM of Fractions is 12389790/16.Finally, LCM of Fractions for 8610/880, 4317/864 is 12389790/16.