Least Common Multiple of 4231/675, 3451/993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4231/675, 3451/993 quickly i.e. 14601181/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4231/675, 3451/993 is 14601181/3.

LCM(4231/675, 3451/993) = 14601181/3

LCM of 4231/675, 3451/993

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 4231/675,3451/993

Given numbers are 4231/675,3451/993

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 4231,3451

Least Common Multiple of Numerators i.e. LCM of 4231,3451 is 14601181.

GCF of Denominators means GCF of 675,993 as per the given fractions.

GCF of 675,993 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4231,3451

LCM of Fractions 4231/675,3451/993 is 14601181/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 14601181

Least Common Multiple of 4231,3451 with GCF Formula

Least Common Multiple of 4231,3451 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 4231,3451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4231,3451) = 1

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

GCF(4231,3451) x common factors =1 x 1 = 1

LCM(4231,3451) = ( 4231 × 3451 ) / 1

LCM(4231,3451) = 14601181 / 1

LCM(4231,3451) = 14601181


Lets's calculate GCF of 675,993

3 675, 993
225, 331

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14601181/3

Therefore the LCM of Fractions 4231/675,3451/993 is 14601181/3

Greatest Common Factor of 675,993 By Matching Biggest Common Factor Method

Greatest Common Factor of 675,993 By Matching Biggest Common Factor Method

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Greatest Common Factor

We found the factors 675,993 . The biggest common factor number is the GCF number.
So the greatest common factor 675,993 is 3.


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 4231/675, 3451/993

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 4231/675, 3451/993?

Answer: LCM of Numerators as per given numbers 4231/675, 3451/993 is

LCM of Numerators i.e. for 4231,3451 is 14601181

GCF of denominators i.e. for 675,993 is 3.

Thus, LCM of Fractions is 14601181/3.Finally, LCM of Fractions for 4231/675, 3451/993 is 14601181/3.