Least Common Multiple of 522/388, 8010/3982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 522/388, 8010/3982 quickly i.e. 116145 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 522/388, 8010/3982 is 116145.

LCM(522/388, 8010/3982) = 116145

LCM of 522/388, 8010/3982

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 522/388,8010/3982

Given numbers are 522/388,8010/3982

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 522,8010

Least Common Multiple of Numerators i.e. LCM of 522,8010 is 232290.

GCF of Denominators means GCF of 388,3982 as per the given fractions.

GCF of 388,3982 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 522,8010

LCM of Fractions 522/388,8010/3982 is 116145

2 522, 8010
3 261, 4005
3 87, 1335
29, 445

∴ So the LCM of the given numbers is 2 x 3 x 3 x 29 x 445 = 232290

Least Common Multiple of 522,8010 with GCF Formula

Least Common Multiple of 522,8010 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 522,8010 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(522,8010) = 18

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

GCF(522,8010) x common factors =18 x 1 = 18

LCM(522,8010) = ( 522 × 8010 ) / 18

LCM(522,8010) = 4181220 / 18

LCM(522,8010) = 232290


Lets's calculate GCF of 388,3982

2 388, 3982
194, 1991

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 232290/2

Therefore the LCM of Fractions 522/388,8010/3982 is 116145

Greatest Common Factor of 388,3982 By Matching Biggest Common Factor Method

Greatest Common Factor of 388,3982 By Matching Biggest Common Factor Method

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Factors of 3982

List of positive integer factors of 3982 that divides 3982 without a remainder.

1,2,11,22,181,362,1991,3982

Greatest Common Factor

We found the factors 388,3982 . The biggest common factor number is the GCF number.
So the greatest common factor 388,3982 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 522/388, 8010/3982

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 522/388, 8010/3982?

Answer: LCM of Numerators as per given numbers 522/388, 8010/3982 is

LCM of Numerators i.e. for 522,8010 is 232290

GCF of denominators i.e. for 388,3982 is 2.

Thus, LCM of Fractions is 116145.Finally, LCM of Fractions for 522/388, 8010/3982 is 116145.