Least Common Multiple of 517/28, 359/12, 456/791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 517/28, 359/12, 456/791 quickly i.e. 84634968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 517/28, 359/12, 456/791 is 84634968.

LCM(517/28, 359/12, 456/791) = 84634968

LCM of 517/28, 359/12, 456/791

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 517/28,359/12,456/791

Given numbers are 517/28,359/12,456/791

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 517,359,456

Least Common Multiple of Numerators i.e. LCM of 517,359,456 is 84634968.

GCF of Denominators means GCF of 28,12,791 as per the given fractions.

GCF of 28,12,791 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 517,359,456

LCM of Fractions 517/28,359/12,456/791 is 84634968

Given numbers has no common factors except 1. So, there LCM is their product i.e 84634968

Least Common Multiple of 517,359,456 with GCF Formula

Least Common Multiple of 517,359,456 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 517,359,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(517,359,456) = 1

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

GCF(517,359,456) x common factors =1 x 1 = 1

LCM(517,359,456) = ( 517 × 359 × 456 ) / 1

LCM(517,359,456) = 84634968 / 1

LCM(517,359,456) = 84634968


Lets's calculate GCF of 28,12,791

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84634968/1

Therefore the LCM of Fractions 517/28,359/12,456/791 is 84634968

Greatest Common Factor of 28,12,791 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,12,791 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Greatest Common Factor

We found the factors 28,12,791 . The biggest common factor number is the GCF number.
So the greatest common factor 28,12,791 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 517/28, 359/12, 456/791

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 517/28, 359/12, 456/791?

Answer: LCM of Numerators as per given numbers 517/28, 359/12, 456/791 is

LCM of Numerators i.e. for 517,359,456 is 84634968

GCF of denominators i.e. for 28,12,791 is 1.

Thus, LCM of Fractions is 84634968.Finally, LCM of Fractions for 517/28, 359/12, 456/791 is 84634968.