Least Common Multiple of 854/522, 9963/916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 854/522, 9963/916 quickly i.e. 4254201 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 854/522, 9963/916 is 4254201.

LCM(854/522, 9963/916) = 4254201

LCM of 854/522, 9963/916

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 854/522,9963/916

Given numbers are 854/522,9963/916

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 854,9963

Least Common Multiple of Numerators i.e. LCM of 854,9963 is 8508402.

GCF of Denominators means GCF of 522,916 as per the given fractions.

GCF of 522,916 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 854,9963

LCM of Fractions 854/522,9963/916 is 4254201

Given numbers has no common factors except 1. So, there LCM is their product i.e 8508402

Least Common Multiple of 854,9963 with GCF Formula

Least Common Multiple of 854,9963 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 854,9963 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(854,9963) = 1

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

GCF(854,9963) x common factors =1 x 1 = 1

LCM(854,9963) = ( 854 × 9963 ) / 1

LCM(854,9963) = 8508402 / 1

LCM(854,9963) = 8508402


Lets's calculate GCF of 522,916

2 522, 916
261, 458

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8508402/2

Therefore the LCM of Fractions 854/522,9963/916 is 4254201

Greatest Common Factor of 522,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 522,916 By Matching Biggest Common Factor Method

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors 522,916 . The biggest common factor number is the GCF number.
So the greatest common factor 522,916 is 2.


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 854/522, 9963/916

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 854/522, 9963/916?

Answer: LCM of Numerators as per given numbers 854/522, 9963/916 is

LCM of Numerators i.e. for 854,9963 is 8508402

GCF of denominators i.e. for 522,916 is 2.

Thus, LCM of Fractions is 4254201.Finally, LCM of Fractions for 854/522, 9963/916 is 4254201.