Least Common Multiple of 3672/738, 3651/808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3672/738, 3651/808 quickly i.e. 2234412 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3672/738, 3651/808 is 2234412.

LCM(3672/738, 3651/808) = 2234412

LCM of 3672/738, 3651/808

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 3672/738,3651/808

Given numbers are 3672/738,3651/808

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 3672,3651

Least Common Multiple of Numerators i.e. LCM of 3672,3651 is 4468824.

GCF of Denominators means GCF of 738,808 as per the given fractions.

GCF of 738,808 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3672,3651

LCM of Fractions 3672/738,3651/808 is 2234412

3 3672, 3651
1224, 1217

∴ So the LCM of the given numbers is 3 x 1224 x 1217 = 4468824

Least Common Multiple of 3672,3651 with GCF Formula

Least Common Multiple of 3672,3651 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 3672,3651 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3672,3651) = 3

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

GCF(3672,3651) x common factors =3 x 1 = 3

LCM(3672,3651) = ( 3672 × 3651 ) / 3

LCM(3672,3651) = 13406472 / 3

LCM(3672,3651) = 4468824


Lets's calculate GCF of 738,808

2 738, 808
369, 404

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4468824/2

Therefore the LCM of Fractions 3672/738,3651/808 is 2234412

Greatest Common Factor of 738,808 By Matching Biggest Common Factor Method

Greatest Common Factor of 738,808 By Matching Biggest Common Factor Method

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Greatest Common Factor

We found the factors 738,808 . The biggest common factor number is the GCF number.
So the greatest common factor 738,808 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3672/738, 3651/808

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 3672/738, 3651/808?

Answer: LCM of Numerators as per given numbers 3672/738, 3651/808 is

LCM of Numerators i.e. for 3672,3651 is 4468824

GCF of denominators i.e. for 738,808 is 2.

Thus, LCM of Fractions is 2234412.Finally, LCM of Fractions for 3672/738, 3651/808 is 2234412.