Least Common Multiple of 8121/638, 1305/3610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8121/638, 1305/3610 quickly i.e. 3532635/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8121/638, 1305/3610 is 3532635/2.

LCM(8121/638, 1305/3610) = 3532635/2

LCM of 8121/638, 1305/3610

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 8121/638,1305/3610

Given numbers are 8121/638,1305/3610

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 8121,1305

Least Common Multiple of Numerators i.e. LCM of 8121,1305 is 3532635.

GCF of Denominators means GCF of 638,3610 as per the given fractions.

GCF of 638,3610 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8121,1305

LCM of Fractions 8121/638,1305/3610 is 3532635/2

3 8121, 1305
2707, 435

∴ So the LCM of the given numbers is 3 x 2707 x 435 = 3532635

Least Common Multiple of 8121,1305 with GCF Formula

Least Common Multiple of 8121,1305 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 8121,1305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8121,1305) = 3

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

GCF(8121,1305) x common factors =3 x 1 = 3

LCM(8121,1305) = ( 8121 × 1305 ) / 3

LCM(8121,1305) = 10597905 / 3

LCM(8121,1305) = 3532635


Lets's calculate GCF of 638,3610

2 638, 3610
319, 1805

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3532635/2

Therefore the LCM of Fractions 8121/638,1305/3610 is 3532635/2

Greatest Common Factor of 638,3610 By Matching Biggest Common Factor Method

Greatest Common Factor of 638,3610 By Matching Biggest Common Factor Method

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 3610

List of positive integer factors of 3610 that divides 3610 without a remainder.

1,2,5,10,19,38,95,190,361,722,1805,3610

Greatest Common Factor

We found the factors 638,3610 . The biggest common factor number is the GCF number.
So the greatest common factor 638,3610 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 8121/638, 1305/3610

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 8121/638, 1305/3610?

Answer: LCM of Numerators as per given numbers 8121/638, 1305/3610 is

LCM of Numerators i.e. for 8121,1305 is 3532635

GCF of denominators i.e. for 638,3610 is 2.

Thus, LCM of Fractions is 3532635/2.Finally, LCM of Fractions for 8121/638, 1305/3610 is 3532635/2.