Least Common Multiple of 17/320, 794/761, 543/679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/320, 794/761, 543/679 quickly i.e. 7329414 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/320, 794/761, 543/679 is 7329414.

LCM(17/320, 794/761, 543/679) = 7329414

LCM of 17/320, 794/761, 543/679

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 17/320,794/761,543/679

Given numbers are 17/320,794/761,543/679

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 17,794,543

Least Common Multiple of Numerators i.e. LCM of 17,794,543 is 7329414.

GCF of Denominators means GCF of 320,761,679 as per the given fractions.

GCF of 320,761,679 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,794,543

LCM of Fractions 17/320,794/761,543/679 is 7329414

Given numbers has no common factors except 1. So, there LCM is their product i.e 7329414

Least Common Multiple of 17,794,543 with GCF Formula

Least Common Multiple of 17,794,543 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 17,794,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,794,543) = 1

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

GCF(17,794,543) x common factors =1 x 1 = 1

LCM(17,794,543) = ( 17 × 794 × 543 ) / 1

LCM(17,794,543) = 7329414 / 1

LCM(17,794,543) = 7329414


Lets's calculate GCF of 320,761,679

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7329414/1

Therefore the LCM of Fractions 17/320,794/761,543/679 is 7329414

Greatest Common Factor of 320,761,679 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,761,679 By Matching Biggest Common Factor Method

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Greatest Common Factor

We found the factors 320,761,679 . The biggest common factor number is the GCF number.
So the greatest common factor 320,761,679 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 17/320, 794/761, 543/679

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 17/320, 794/761, 543/679?

Answer: LCM of Numerators as per given numbers 17/320, 794/761, 543/679 is

LCM of Numerators i.e. for 17,794,543 is 7329414

GCF of denominators i.e. for 320,761,679 is 1.

Thus, LCM of Fractions is 7329414.Finally, LCM of Fractions for 17/320, 794/761, 543/679 is 7329414.