Least Common Multiple of 5601/894, 6849/6651

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5601/894, 6849/6651 quickly i.e. 4262361 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5601/894, 6849/6651 is 4262361.

LCM(5601/894, 6849/6651) = 4262361

LCM of 5601/894, 6849/6651

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 5601/894,6849/6651

Given numbers are 5601/894,6849/6651

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 5601,6849

Least Common Multiple of Numerators i.e. LCM of 5601,6849 is 12787083.

GCF of Denominators means GCF of 894,6651 as per the given fractions.

GCF of 894,6651 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5601,6849

LCM of Fractions 5601/894,6849/6651 is 4262361

3 5601, 6849
1867, 2283

∴ So the LCM of the given numbers is 3 x 1867 x 2283 = 12787083

Least Common Multiple of 5601,6849 with GCF Formula

Least Common Multiple of 5601,6849 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 5601,6849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5601,6849) = 3

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

GCF(5601,6849) x common factors =3 x 1 = 3

LCM(5601,6849) = ( 5601 × 6849 ) / 3

LCM(5601,6849) = 38361249 / 3

LCM(5601,6849) = 12787083


Lets's calculate GCF of 894,6651

3 894, 6651
298, 2217

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12787083/3

Therefore the LCM of Fractions 5601/894,6849/6651 is 4262361

Greatest Common Factor of 894,6651 By Matching Biggest Common Factor Method

Greatest Common Factor of 894,6651 By Matching Biggest Common Factor Method

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 6651

List of positive integer factors of 6651 that divides 6651 without a remainder.

1,3,9,739,2217,6651

Greatest Common Factor

We found the factors 894,6651 . The biggest common factor number is the GCF number.
So the greatest common factor 894,6651 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 5601/894, 6849/6651

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 5601/894, 6849/6651?

Answer: LCM of Numerators as per given numbers 5601/894, 6849/6651 is

LCM of Numerators i.e. for 5601,6849 is 12787083

GCF of denominators i.e. for 894,6651 is 3.

Thus, LCM of Fractions is 4262361.Finally, LCM of Fractions for 5601/894, 6849/6651 is 4262361.