Least Common Multiple of 523/368, 3162/4054

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 523/368, 3162/4054 quickly i.e. 826863 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 523/368, 3162/4054 is 826863.

LCM(523/368, 3162/4054) = 826863

LCM of 523/368, 3162/4054

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 523/368,3162/4054

Given numbers are 523/368,3162/4054

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 523,3162

Least Common Multiple of Numerators i.e. LCM of 523,3162 is 1653726.

GCF of Denominators means GCF of 368,4054 as per the given fractions.

GCF of 368,4054 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 523,3162

LCM of Fractions 523/368,3162/4054 is 826863

Given numbers has no common factors except 1. So, there LCM is their product i.e 1653726

Least Common Multiple of 523,3162 with GCF Formula

Least Common Multiple of 523,3162 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 523,3162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,3162) = 1

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

GCF(523,3162) x common factors =1 x 1 = 1

LCM(523,3162) = ( 523 × 3162 ) / 1

LCM(523,3162) = 1653726 / 1

LCM(523,3162) = 1653726


Lets's calculate GCF of 368,4054

2 368, 4054
184, 2027

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1653726/2

Therefore the LCM of Fractions 523/368,3162/4054 is 826863

Greatest Common Factor of 368,4054 By Matching Biggest Common Factor Method

Greatest Common Factor of 368,4054 By Matching Biggest Common Factor Method

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Factors of 4054

List of positive integer factors of 4054 that divides 4054 without a remainder.

1,2,2027,4054

Greatest Common Factor

We found the factors 368,4054 . The biggest common factor number is the GCF number.
So the greatest common factor 368,4054 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 523/368, 3162/4054

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 523/368, 3162/4054?

Answer: LCM of Numerators as per given numbers 523/368, 3162/4054 is

LCM of Numerators i.e. for 523,3162 is 1653726

GCF of denominators i.e. for 368,4054 is 2.

Thus, LCM of Fractions is 826863.Finally, LCM of Fractions for 523/368, 3162/4054 is 826863.