Least Common Multiple of 14/768, 87/264, 121/179

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/768, 87/264, 121/179 quickly i.e. 147378 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/768, 87/264, 121/179 is 147378.

LCM(14/768, 87/264, 121/179) = 147378

LCM of 14/768, 87/264, 121/179

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 14/768,87/264,121/179

Given numbers are 14/768,87/264,121/179

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 14,87,121

Least Common Multiple of Numerators i.e. LCM of 14,87,121 is 147378.

GCF of Denominators means GCF of 768,264,179 as per the given fractions.

GCF of 768,264,179 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,87,121

LCM of Fractions 14/768,87/264,121/179 is 147378

Given numbers has no common factors except 1. So, there LCM is their product i.e 147378

Least Common Multiple of 14,87,121 with GCF Formula

Least Common Multiple of 14,87,121 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 14,87,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,87,121) = 1

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

GCF(14,87,121) x common factors =1 x 1 = 1

LCM(14,87,121) = ( 14 × 87 × 121 ) / 1

LCM(14,87,121) = 147378 / 1

LCM(14,87,121) = 147378


Lets's calculate GCF of 768,264,179

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 147378/1

Therefore the LCM of Fractions 14/768,87/264,121/179 is 147378

Greatest Common Factor of 768,264,179 By Matching Biggest Common Factor Method

Greatest Common Factor of 768,264,179 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 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 179

List of positive integer factors of 179 that divides 179 without a remainder.

1,179

Greatest Common Factor

We found the factors 768,264,179 . The biggest common factor number is the GCF number.
So the greatest common factor 768,264,179 is 1.


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 14/768, 87/264, 121/179

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 14/768, 87/264, 121/179?

Answer: LCM of Numerators as per given numbers 14/768, 87/264, 121/179 is

LCM of Numerators i.e. for 14,87,121 is 147378

GCF of denominators i.e. for 768,264,179 is 1.

Thus, LCM of Fractions is 147378.Finally, LCM of Fractions for 14/768, 87/264, 121/179 is 147378.