Least Common Multiple of 316/20, 179/67, 289/517

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 316/20, 179/67, 289/517 quickly i.e. 16346996 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 316/20, 179/67, 289/517 is 16346996.

LCM(316/20, 179/67, 289/517) = 16346996

LCM of 316/20, 179/67, 289/517

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 316/20,179/67,289/517

Given numbers are 316/20,179/67,289/517

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 316,179,289

Least Common Multiple of Numerators i.e. LCM of 316,179,289 is 16346996.

GCF of Denominators means GCF of 20,67,517 as per the given fractions.

GCF of 20,67,517 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 316,179,289

LCM of Fractions 316/20,179/67,289/517 is 16346996

Given numbers has no common factors except 1. So, there LCM is their product i.e 16346996

Least Common Multiple of 316,179,289 with GCF Formula

Least Common Multiple of 316,179,289 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 316,179,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(316,179,289) = 1

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

GCF(316,179,289) x common factors =1 x 1 = 1

LCM(316,179,289) = ( 316 × 179 × 289 ) / 1

LCM(316,179,289) = 16346996 / 1

LCM(316,179,289) = 16346996


Lets's calculate GCF of 20,67,517

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16346996/1

Therefore the LCM of Fractions 316/20,179/67,289/517 is 16346996

Greatest Common Factor of 20,67,517 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,67,517 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Greatest Common Factor

We found the factors 20,67,517 . The biggest common factor number is the GCF number.
So the greatest common factor 20,67,517 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 316/20, 179/67, 289/517

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 316/20, 179/67, 289/517?

Answer: LCM of Numerators as per given numbers 316/20, 179/67, 289/517 is

LCM of Numerators i.e. for 316,179,289 is 16346996

GCF of denominators i.e. for 20,67,517 is 1.

Thus, LCM of Fractions is 16346996.Finally, LCM of Fractions for 316/20, 179/67, 289/517 is 16346996.