Least Common Multiple of 6675/589, 6951/8436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6675/589, 6951/8436 quickly i.e. 15465975/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6675/589, 6951/8436 is 15465975/19.

LCM(6675/589, 6951/8436) = 15465975/19

LCM of 6675/589, 6951/8436

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 6675/589,6951/8436

Given numbers are 6675/589,6951/8436

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 6675,6951

Least Common Multiple of Numerators i.e. LCM of 6675,6951 is 15465975.

GCF of Denominators means GCF of 589,8436 as per the given fractions.

GCF of 589,8436 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6675,6951

LCM of Fractions 6675/589,6951/8436 is 15465975/19

3 6675, 6951
2225, 2317

∴ So the LCM of the given numbers is 3 x 2225 x 2317 = 15465975

Least Common Multiple of 6675,6951 with GCF Formula

Least Common Multiple of 6675,6951 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 6675,6951 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6675,6951) = 3

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

GCF(6675,6951) x common factors =3 x 1 = 3

LCM(6675,6951) = ( 6675 × 6951 ) / 3

LCM(6675,6951) = 46397925 / 3

LCM(6675,6951) = 15465975


Lets's calculate GCF of 589,8436

19 589, 8436
31, 444

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15465975/19

Therefore the LCM of Fractions 6675/589,6951/8436 is 15465975/19

Greatest Common Factor of 589,8436 By Matching Biggest Common Factor Method

Greatest Common Factor of 589,8436 By Matching Biggest Common Factor Method

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Factors of 8436

List of positive integer factors of 8436 that divides 8436 without a remainder.

1,2,3,4,6,12,19,37,38,57,74,76,111,114,148,222,228,444,703,1406,2109,2812,4218,8436

Greatest Common Factor

We found the factors 589,8436 . The biggest common factor number is the GCF number.
So the greatest common factor 589,8436 is 19.


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 6675/589, 6951/8436

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 6675/589, 6951/8436?

Answer: LCM of Numerators as per given numbers 6675/589, 6951/8436 is

LCM of Numerators i.e. for 6675,6951 is 15465975

GCF of denominators i.e. for 589,8436 is 19.

Thus, LCM of Fractions is 15465975/19.Finally, LCM of Fractions for 6675/589, 6951/8436 is 15465975/19.