Least Common Multiple of 522/825, 997/280, 949/608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 522/825, 997/280, 949/608 quickly i.e. 493891866 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 522/825, 997/280, 949/608 is 493891866.

LCM(522/825, 997/280, 949/608) = 493891866

LCM of 522/825, 997/280, 949/608

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 522/825,997/280,949/608

Given numbers are 522/825,997/280,949/608

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 522,997,949

Least Common Multiple of Numerators i.e. LCM of 522,997,949 is 493891866.

GCF of Denominators means GCF of 825,280,608 as per the given fractions.

GCF of 825,280,608 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 522,997,949

LCM of Fractions 522/825,997/280,949/608 is 493891866

Given numbers has no common factors except 1. So, there LCM is their product i.e 493891866

Least Common Multiple of 522,997,949 with GCF Formula

Least Common Multiple of 522,997,949 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 522,997,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(522,997,949) = 1

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

GCF(522,997,949) x common factors =1 x 1 = 1

LCM(522,997,949) = ( 522 × 997 × 949 ) / 1

LCM(522,997,949) = 493891866 / 1

LCM(522,997,949) = 493891866


Lets's calculate GCF of 825,280,608

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 493891866/1

Therefore the LCM of Fractions 522/825,997/280,949/608 is 493891866

Greatest Common Factor of 825,280,608 By Matching Biggest Common Factor Method

Greatest Common Factor of 825,280,608 By Matching Biggest Common Factor Method

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Greatest Common Factor

We found the factors 825,280,608 . The biggest common factor number is the GCF number.
So the greatest common factor 825,280,608 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 522/825, 997/280, 949/608

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 522/825, 997/280, 949/608?

Answer: LCM of Numerators as per given numbers 522/825, 997/280, 949/608 is

LCM of Numerators i.e. for 522,997,949 is 493891866

GCF of denominators i.e. for 825,280,608 is 1.

Thus, LCM of Fractions is 493891866.Finally, LCM of Fractions for 522/825, 997/280, 949/608 is 493891866.