Least Common Multiple of 204/50, 297/68, 840/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 204/50, 297/68, 840/966 quickly i.e. 706860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 204/50, 297/68, 840/966 is 706860.

LCM(204/50, 297/68, 840/966) = 706860

LCM of 204/50, 297/68, 840/966

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 204/50,297/68,840/966

Given numbers are 204/50,297/68,840/966

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 204,297,840

Least Common Multiple of Numerators i.e. LCM of 204,297,840 is 1413720.

GCF of Denominators means GCF of 50,68,966 as per the given fractions.

GCF of 50,68,966 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 204,297,840

LCM of Fractions 204/50,297/68,840/966 is 706860

2 204, 297, 840
2 102, 297, 420
3 51, 297, 210
17, 99, 70

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 99 x 70 = 1413720

Least Common Multiple of 204,297,840 with GCF Formula

Least Common Multiple of 204,297,840 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 204,297,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,297,840) = 3

common factors(in case of two or more numbers have common factors) = 12

GCF(204,297,840) x common factors =3 x 12 = 36

LCM(204,297,840) = ( 204 × 297 × 840 ) / 36

LCM(204,297,840) = 50893920 / 36

LCM(204,297,840) = 1413720


Lets's calculate GCF of 50,68,966

2 50, 68, 966
25, 34, 483

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1413720/2

Therefore the LCM of Fractions 204/50,297/68,840/966 is 706860

Greatest Common Factor of 50,68,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,68,966 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Greatest Common Factor

We found the factors 50,68,966 . The biggest common factor number is the GCF number.
So the greatest common factor 50,68,966 is 2.


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 204/50, 297/68, 840/966

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 204/50, 297/68, 840/966?

Answer: LCM of Numerators as per given numbers 204/50, 297/68, 840/966 is

LCM of Numerators i.e. for 204,297,840 is 1413720

GCF of denominators i.e. for 50,68,966 is 2.

Thus, LCM of Fractions is 706860.Finally, LCM of Fractions for 204/50, 297/68, 840/966 is 706860.