Least Common Multiple of 3351/500, 3644/1681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3351/500, 3644/1681 quickly i.e. 12211044 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3351/500, 3644/1681 is 12211044.

LCM(3351/500, 3644/1681) = 12211044

LCM of 3351/500, 3644/1681

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 3351/500,3644/1681

Given numbers are 3351/500,3644/1681

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 3351,3644

Least Common Multiple of Numerators i.e. LCM of 3351,3644 is 12211044.

GCF of Denominators means GCF of 500,1681 as per the given fractions.

GCF of 500,1681 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3351,3644

LCM of Fractions 3351/500,3644/1681 is 12211044

Given numbers has no common factors except 1. So, there LCM is their product i.e 12211044

Least Common Multiple of 3351,3644 with GCF Formula

Least Common Multiple of 3351,3644 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 3351,3644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3351,3644) = 1

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

GCF(3351,3644) x common factors =1 x 1 = 1

LCM(3351,3644) = ( 3351 × 3644 ) / 1

LCM(3351,3644) = 12211044 / 1

LCM(3351,3644) = 12211044


Lets's calculate GCF of 500,1681

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12211044/1

Therefore the LCM of Fractions 3351/500,3644/1681 is 12211044

Greatest Common Factor of 500,1681 By Matching Biggest Common Factor Method

Greatest Common Factor of 500,1681 By Matching Biggest Common Factor Method

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 1681

List of positive integer factors of 1681 that divides 1681 without a remainder.

1,41,1681

Greatest Common Factor

We found the factors 500,1681 . The biggest common factor number is the GCF number.
So the greatest common factor 500,1681 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 3351/500, 3644/1681

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 3351/500, 3644/1681?

Answer: LCM of Numerators as per given numbers 3351/500, 3644/1681 is

LCM of Numerators i.e. for 3351,3644 is 12211044

GCF of denominators i.e. for 500,1681 is 1.

Thus, LCM of Fractions is 12211044.Finally, LCM of Fractions for 3351/500, 3644/1681 is 12211044.