Least Common Multiple of 15/204, 321/846, 627/888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/204, 321/846, 627/888 quickly i.e. 335445/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/204, 321/846, 627/888 is 335445/6.

LCM(15/204, 321/846, 627/888) = 335445/6

LCM of 15/204, 321/846, 627/888

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 15/204,321/846,627/888

Given numbers are 15/204,321/846,627/888

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 15,321,627

Least Common Multiple of Numerators i.e. LCM of 15,321,627 is 335445.

GCF of Denominators means GCF of 204,846,888 as per the given fractions.

GCF of 204,846,888 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,321,627

LCM of Fractions 15/204,321/846,627/888 is 335445/6

3 15, 321, 627
5, 107, 209

∴ So the LCM of the given numbers is 3 x 5 x 107 x 209 = 335445

Least Common Multiple of 15,321,627 with GCF Formula

Least Common Multiple of 15,321,627 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 15,321,627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,321,627) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(15,321,627) x common factors =3 x 3 = 9

LCM(15,321,627) = ( 15 × 321 × 627 ) / 9

LCM(15,321,627) = 3019005 / 9

LCM(15,321,627) = 335445


Lets's calculate GCF of 204,846,888

2 204, 846, 888
3 102, 423, 444
34, 141, 148

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 335445/6

Therefore the LCM of Fractions 15/204,321/846,627/888 is 335445/6

Greatest Common Factor of 204,846,888 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,846,888 By Matching Biggest Common Factor Method

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Greatest Common Factor

We found the factors 204,846,888 . The biggest common factor number is the GCF number.
So the greatest common factor 204,846,888 is 6.


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 15/204, 321/846, 627/888

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 15/204, 321/846, 627/888?

Answer: LCM of Numerators as per given numbers 15/204, 321/846, 627/888 is

LCM of Numerators i.e. for 15,321,627 is 335445

GCF of denominators i.e. for 204,846,888 is 6.

Thus, LCM of Fractions is 335445/6.Finally, LCM of Fractions for 15/204, 321/846, 627/888 is 335445/6.