Least Common Multiple of 3645/610, 7581/536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3645/610, 7581/536 quickly i.e. 9210915/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3645/610, 7581/536 is 9210915/2.

LCM(3645/610, 7581/536) = 9210915/2

LCM of 3645/610, 7581/536

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 3645/610,7581/536

Given numbers are 3645/610,7581/536

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 3645,7581

Least Common Multiple of Numerators i.e. LCM of 3645,7581 is 9210915.

GCF of Denominators means GCF of 610,536 as per the given fractions.

GCF of 610,536 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3645,7581

LCM of Fractions 3645/610,7581/536 is 9210915/2

3 3645, 7581
1215, 2527

∴ So the LCM of the given numbers is 3 x 1215 x 2527 = 9210915

Least Common Multiple of 3645,7581 with GCF Formula

Least Common Multiple of 3645,7581 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 3645,7581 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3645,7581) = 3

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

GCF(3645,7581) x common factors =3 x 1 = 3

LCM(3645,7581) = ( 3645 × 7581 ) / 3

LCM(3645,7581) = 27632745 / 3

LCM(3645,7581) = 9210915


Lets's calculate GCF of 610,536

2 610, 536
305, 268

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9210915/2

Therefore the LCM of Fractions 3645/610,7581/536 is 9210915/2

Greatest Common Factor of 610,536 By Matching Biggest Common Factor Method

Greatest Common Factor of 610,536 By Matching Biggest Common Factor Method

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Greatest Common Factor

We found the factors 610,536 . The biggest common factor number is the GCF number.
So the greatest common factor 610,536 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 3645/610, 7581/536

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 3645/610, 7581/536?

Answer: LCM of Numerators as per given numbers 3645/610, 7581/536 is

LCM of Numerators i.e. for 3645,7581 is 9210915

GCF of denominators i.e. for 610,536 is 2.

Thus, LCM of Fractions is 9210915/2.Finally, LCM of Fractions for 3645/610, 7581/536 is 9210915/2.