Least Common Multiple of 2217/864, 7769/4671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2217/864, 7769/4671 quickly i.e. 17223873/27 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2217/864, 7769/4671 is 17223873/27.

LCM(2217/864, 7769/4671) = 17223873/27

LCM of 2217/864, 7769/4671

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 2217/864,7769/4671

Given numbers are 2217/864,7769/4671

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 2217,7769

Least Common Multiple of Numerators i.e. LCM of 2217,7769 is 17223873.

GCF of Denominators means GCF of 864,4671 as per the given fractions.

GCF of 864,4671 is 27 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2217,7769

LCM of Fractions 2217/864,7769/4671 is 17223873/27

Given numbers has no common factors except 1. So, there LCM is their product i.e 17223873

Least Common Multiple of 2217,7769 with GCF Formula

Least Common Multiple of 2217,7769 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 2217,7769 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2217,7769) = 1

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

GCF(2217,7769) x common factors =1 x 1 = 1

LCM(2217,7769) = ( 2217 × 7769 ) / 1

LCM(2217,7769) = 17223873 / 1

LCM(2217,7769) = 17223873


Lets's calculate GCF of 864,4671

3 864, 4671
3 288, 1557
3 96, 519
32, 173

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17223873/27

Therefore the LCM of Fractions 2217/864,7769/4671 is 17223873/27

Greatest Common Factor of 864,4671 By Matching Biggest Common Factor Method

Greatest Common Factor of 864,4671 By Matching Biggest Common Factor Method

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

Factors of 4671

List of positive integer factors of 4671 that divides 4671 without a remainder.

1,3,9,27,173,519,1557,4671

Greatest Common Factor

We found the factors 864,4671 . The biggest common factor number is the GCF number.
So the greatest common factor 864,4671 is 27.


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 2217/864, 7769/4671

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 2217/864, 7769/4671?

Answer: LCM of Numerators as per given numbers 2217/864, 7769/4671 is

LCM of Numerators i.e. for 2217,7769 is 17223873

GCF of denominators i.e. for 864,4671 is 27.

Thus, LCM of Fractions is 17223873/27.Finally, LCM of Fractions for 2217/864, 7769/4671 is 17223873/27.