Least Common Multiple of 5874/144, 6669/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5874/144, 6669/249 quickly i.e. 4352634 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5874/144, 6669/249 is 4352634.

LCM(5874/144, 6669/249) = 4352634

LCM of 5874/144, 6669/249

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 5874/144,6669/249

Given numbers are 5874/144,6669/249

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 5874,6669

Least Common Multiple of Numerators i.e. LCM of 5874,6669 is 13057902.

GCF of Denominators means GCF of 144,249 as per the given fractions.

GCF of 144,249 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5874,6669

LCM of Fractions 5874/144,6669/249 is 4352634

3 5874, 6669
1958, 2223

∴ So the LCM of the given numbers is 3 x 1958 x 2223 = 13057902

Least Common Multiple of 5874,6669 with GCF Formula

Least Common Multiple of 5874,6669 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 5874,6669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5874,6669) = 3

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

GCF(5874,6669) x common factors =3 x 1 = 3

LCM(5874,6669) = ( 5874 × 6669 ) / 3

LCM(5874,6669) = 39173706 / 3

LCM(5874,6669) = 13057902


Lets's calculate GCF of 144,249

3 144, 249
48, 83

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13057902/3

Therefore the LCM of Fractions 5874/144,6669/249 is 4352634

Greatest Common Factor of 144,249 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,249 By Matching Biggest Common Factor Method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Greatest Common Factor

We found the factors 144,249 . The biggest common factor number is the GCF number.
So the greatest common factor 144,249 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 5874/144, 6669/249

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 5874/144, 6669/249?

Answer: LCM of Numerators as per given numbers 5874/144, 6669/249 is

LCM of Numerators i.e. for 5874,6669 is 13057902

GCF of denominators i.e. for 144,249 is 3.

Thus, LCM of Fractions is 4352634.Finally, LCM of Fractions for 5874/144, 6669/249 is 4352634.