Least Common Multiple of 522/63, 114/10, 993/968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 522/63, 114/10, 993/968 quickly i.e. 3282858 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 522/63, 114/10, 993/968 is 3282858.

LCM(522/63, 114/10, 993/968) = 3282858

LCM of 522/63, 114/10, 993/968

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 522/63,114/10,993/968

Given numbers are 522/63,114/10,993/968

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 522,114,993

Least Common Multiple of Numerators i.e. LCM of 522,114,993 is 3282858.

GCF of Denominators means GCF of 63,10,968 as per the given fractions.

GCF of 63,10,968 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 522,114,993

LCM of Fractions 522/63,114/10,993/968 is 3282858

2 522, 114, 993
3 261, 57, 993
87, 19, 331

∴ So the LCM of the given numbers is 2 x 3 x 87 x 19 x 331 = 3282858

Least Common Multiple of 522,114,993 with GCF Formula

Least Common Multiple of 522,114,993 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 522,114,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(522,114,993) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(522,114,993) x common factors =3 x 6 = 18

LCM(522,114,993) = ( 522 × 114 × 993 ) / 18

LCM(522,114,993) = 59091444 / 18

LCM(522,114,993) = 3282858


Lets's calculate GCF of 63,10,968

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3282858/1

Therefore the LCM of Fractions 522/63,114/10,993/968 is 3282858

Greatest Common Factor of 63,10,968 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,10,968 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Greatest Common Factor

We found the factors 63,10,968 . The biggest common factor number is the GCF number.
So the greatest common factor 63,10,968 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 522/63, 114/10, 993/968

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 522/63, 114/10, 993/968?

Answer: LCM of Numerators as per given numbers 522/63, 114/10, 993/968 is

LCM of Numerators i.e. for 522,114,993 is 3282858

GCF of denominators i.e. for 63,10,968 is 1.

Thus, LCM of Fractions is 3282858.Finally, LCM of Fractions for 522/63, 114/10, 993/968 is 3282858.