Least Common Multiple of 666/517, 723/799

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 666/517, 723/799 quickly i.e. 160506/47 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 666/517, 723/799 is 160506/47.

LCM(666/517, 723/799) = 160506/47

LCM of 666/517, 723/799

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 666/517,723/799

Given numbers are 666/517,723/799

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 666,723

Least Common Multiple of Numerators i.e. LCM of 666,723 is 160506.

GCF of Denominators means GCF of 517,799 as per the given fractions.

GCF of 517,799 is 47 as it is the largest common factor for these numbers.

Lets's calculate LCM of 666,723

LCM of Fractions 666/517,723/799 is 160506/47

3 666, 723
222, 241

∴ So the LCM of the given numbers is 3 x 222 x 241 = 160506

Least Common Multiple of 666,723 with GCF Formula

Least Common Multiple of 666,723 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 666,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(666,723) = 3

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

GCF(666,723) x common factors =3 x 1 = 3

LCM(666,723) = ( 666 × 723 ) / 3

LCM(666,723) = 481518 / 3

LCM(666,723) = 160506


Lets's calculate GCF of 517,799

47 517, 799
11, 17

∴ So the GCF of the given numbers is 47 = 47

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 160506/47

Therefore the LCM of Fractions 666/517,723/799 is 160506/47

Greatest Common Factor of 517,799 By Matching Biggest Common Factor Method

Greatest Common Factor of 517,799 By Matching Biggest Common Factor Method

Factors of 517

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

1,11,47,517

Factors of 799

List of positive integer factors of 799 that divides 799 without a remainder.

1,17,47,799

Greatest Common Factor

We found the factors 517,799 . The biggest common factor number is the GCF number.
So the greatest common factor 517,799 is 47.


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 666/517, 723/799

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 666/517, 723/799?

Answer: LCM of Numerators as per given numbers 666/517, 723/799 is

LCM of Numerators i.e. for 666,723 is 160506

GCF of denominators i.e. for 517,799 is 47.

Thus, LCM of Fractions is 160506/47.Finally, LCM of Fractions for 666/517, 723/799 is 160506/47.