Least Common Multiple of 522/799, 7680/391

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 522/799, 7680/391 quickly i.e. 668160/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 522/799, 7680/391 is 668160/17.

LCM(522/799, 7680/391) = 668160/17

LCM of 522/799, 7680/391

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 522/799,7680/391

Given numbers are 522/799,7680/391

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 522,7680

Least Common Multiple of Numerators i.e. LCM of 522,7680 is 668160.

GCF of Denominators means GCF of 799,391 as per the given fractions.

GCF of 799,391 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 522,7680

LCM of Fractions 522/799,7680/391 is 668160/17

2 522, 7680
3 261, 3840
87, 1280

∴ So the LCM of the given numbers is 2 x 3 x 87 x 1280 = 668160

Least Common Multiple of 522,7680 with GCF Formula

Least Common Multiple of 522,7680 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 522,7680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(522,7680) = 6

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

GCF(522,7680) x common factors =6 x 1 = 6

LCM(522,7680) = ( 522 × 7680 ) / 6

LCM(522,7680) = 4008960 / 6

LCM(522,7680) = 668160


Lets's calculate GCF of 799,391

17 799, 391
47, 23

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 668160/17

Therefore the LCM of Fractions 522/799,7680/391 is 668160/17

Greatest Common Factor of 799,391 By Matching Biggest Common Factor Method

Greatest Common Factor of 799,391 By Matching Biggest Common Factor Method

Factors of 799

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

1,17,47,799

Factors of 391

List of positive integer factors of 391 that divides 391 without a remainder.

1,17,23,391

Greatest Common Factor

We found the factors 799,391 . The biggest common factor number is the GCF number.
So the greatest common factor 799,391 is 17.


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 522/799, 7680/391

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 522/799, 7680/391?

Answer: LCM of Numerators as per given numbers 522/799, 7680/391 is

LCM of Numerators i.e. for 522,7680 is 668160

GCF of denominators i.e. for 799,391 is 17.

Thus, LCM of Fractions is 668160/17.Finally, LCM of Fractions for 522/799, 7680/391 is 668160/17.