Least Common Multiple of 675/18, 999/6745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 675/18, 999/6745 quickly i.e. 24975 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 675/18, 999/6745 is 24975.

LCM(675/18, 999/6745) = 24975

LCM of 675/18, 999/6745

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 675/18,999/6745

Given numbers are 675/18,999/6745

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 675,999

Least Common Multiple of Numerators i.e. LCM of 675,999 is 24975.

GCF of Denominators means GCF of 18,6745 as per the given fractions.

GCF of 18,6745 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 675,999

LCM of Fractions 675/18,999/6745 is 24975

3 675, 999
3 225, 333
3 75, 111
25, 37

∴ So the LCM of the given numbers is 3 x 3 x 3 x 25 x 37 = 24975

Least Common Multiple of 675,999 with GCF Formula

Least Common Multiple of 675,999 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 675,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(675,999) = 27

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

GCF(675,999) x common factors =27 x 1 = 27

LCM(675,999) = ( 675 × 999 ) / 27

LCM(675,999) = 674325 / 27

LCM(675,999) = 24975


Lets's calculate GCF of 18,6745

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24975/1

Therefore the LCM of Fractions 675/18,999/6745 is 24975

Greatest Common Factor of 18,6745 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,6745 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 6745

List of positive integer factors of 6745 that divides 6745 without a remainder.

1,5,19,71,95,355,1349,6745

Greatest Common Factor

We found the factors 18,6745 . The biggest common factor number is the GCF number.
So the greatest common factor 18,6745 is 1.


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 675/18, 999/6745

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 675/18, 999/6745?

Answer: LCM of Numerators as per given numbers 675/18, 999/6745 is

LCM of Numerators i.e. for 675,999 is 24975

GCF of denominators i.e. for 18,6745 is 1.

Thus, LCM of Fractions is 24975.Finally, LCM of Fractions for 675/18, 999/6745 is 24975.