Least Common Multiple of 4521/645, 3633/3762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4521/645, 3633/3762 quickly i.e. 1824977 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4521/645, 3633/3762 is 1824977.

LCM(4521/645, 3633/3762) = 1824977

LCM of 4521/645, 3633/3762

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 4521/645,3633/3762

Given numbers are 4521/645,3633/3762

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 4521,3633

Least Common Multiple of Numerators i.e. LCM of 4521,3633 is 5474931.

GCF of Denominators means GCF of 645,3762 as per the given fractions.

GCF of 645,3762 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4521,3633

LCM of Fractions 4521/645,3633/3762 is 1824977

3 4521, 3633
1507, 1211

∴ So the LCM of the given numbers is 3 x 1507 x 1211 = 5474931

Least Common Multiple of 4521,3633 with GCF Formula

Least Common Multiple of 4521,3633 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 4521,3633 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4521,3633) = 3

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

GCF(4521,3633) x common factors =3 x 1 = 3

LCM(4521,3633) = ( 4521 × 3633 ) / 3

LCM(4521,3633) = 16424793 / 3

LCM(4521,3633) = 5474931


Lets's calculate GCF of 645,3762

3 645, 3762
215, 1254

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5474931/3

Therefore the LCM of Fractions 4521/645,3633/3762 is 1824977

Greatest Common Factor of 645,3762 By Matching Biggest Common Factor Method

Greatest Common Factor of 645,3762 By Matching Biggest Common Factor Method

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Factors of 3762

List of positive integer factors of 3762 that divides 3762 without a remainder.

1,2,3,6,9,11,18,19,22,33,38,57,66,99,114,171,198,209,342,418,627,1254,1881,3762

Greatest Common Factor

We found the factors 645,3762 . The biggest common factor number is the GCF number.
So the greatest common factor 645,3762 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 4521/645, 3633/3762

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 4521/645, 3633/3762?

Answer: LCM of Numerators as per given numbers 4521/645, 3633/3762 is

LCM of Numerators i.e. for 4521,3633 is 5474931

GCF of denominators i.e. for 645,3762 is 3.

Thus, LCM of Fractions is 1824977.Finally, LCM of Fractions for 4521/645, 3633/3762 is 1824977.