Least Common Multiple of 523/66, 960/6927

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 523/66, 960/6927 quickly i.e. 167360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 523/66, 960/6927 is 167360.

LCM(523/66, 960/6927) = 167360

LCM of 523/66, 960/6927

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 523/66,960/6927

Given numbers are 523/66,960/6927

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 523,960

Least Common Multiple of Numerators i.e. LCM of 523,960 is 502080.

GCF of Denominators means GCF of 66,6927 as per the given fractions.

GCF of 66,6927 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 523,960

LCM of Fractions 523/66,960/6927 is 167360

Given numbers has no common factors except 1. So, there LCM is their product i.e 502080

Least Common Multiple of 523,960 with GCF Formula

Least Common Multiple of 523,960 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 523,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,960) = 1

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

GCF(523,960) x common factors =1 x 1 = 1

LCM(523,960) = ( 523 × 960 ) / 1

LCM(523,960) = 502080 / 1

LCM(523,960) = 502080


Lets's calculate GCF of 66,6927

3 66, 6927
22, 2309

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 502080/3

Therefore the LCM of Fractions 523/66,960/6927 is 167360

Greatest Common Factor of 66,6927 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,6927 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 6927

List of positive integer factors of 6927 that divides 6927 without a remainder.

1,3,2309,6927

Greatest Common Factor

We found the factors 66,6927 . The biggest common factor number is the GCF number.
So the greatest common factor 66,6927 is 3.


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 523/66, 960/6927

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 523/66, 960/6927?

Answer: LCM of Numerators as per given numbers 523/66, 960/6927 is

LCM of Numerators i.e. for 523,960 is 502080

GCF of denominators i.e. for 66,6927 is 3.

Thus, LCM of Fractions is 167360.Finally, LCM of Fractions for 523/66, 960/6927 is 167360.