Least Common Multiple of 18/768, 320/228, 815/171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/768, 320/228, 815/171 quickly i.e. 156480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/768, 320/228, 815/171 is 156480.

LCM(18/768, 320/228, 815/171) = 156480

LCM of 18/768, 320/228, 815/171

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 18/768,320/228,815/171

Given numbers are 18/768,320/228,815/171

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 18,320,815

Least Common Multiple of Numerators i.e. LCM of 18,320,815 is 469440.

GCF of Denominators means GCF of 768,228,171 as per the given fractions.

GCF of 768,228,171 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,320,815

LCM of Fractions 18/768,320/228,815/171 is 156480

2 18, 320, 815
5 9, 160, 815
9, 32, 163

∴ So the LCM of the given numbers is 2 x 5 x 9 x 32 x 163 = 469440

Least Common Multiple of 18,320,815 with GCF Formula

Least Common Multiple of 18,320,815 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 18,320,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,320,815) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(18,320,815) x common factors =1 x 10 = 10

LCM(18,320,815) = ( 18 × 320 × 815 ) / 10

LCM(18,320,815) = 4694400 / 10

LCM(18,320,815) = 469440


Lets's calculate GCF of 768,228,171

3 768, 228, 171
256, 76, 57

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 469440/3

Therefore the LCM of Fractions 18/768,320/228,815/171 is 156480

Greatest Common Factor of 768,228,171 By Matching Biggest Common Factor Method

Greatest Common Factor of 768,228,171 By Matching Biggest Common Factor Method

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Greatest Common Factor

We found the factors 768,228,171 . The biggest common factor number is the GCF number.
So the greatest common factor 768,228,171 is 3.


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 18/768, 320/228, 815/171

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 18/768, 320/228, 815/171?

Answer: LCM of Numerators as per given numbers 18/768, 320/228, 815/171 is

LCM of Numerators i.e. for 18,320,815 is 469440

GCF of denominators i.e. for 768,228,171 is 3.

Thus, LCM of Fractions is 156480.Finally, LCM of Fractions for 18/768, 320/228, 815/171 is 156480.