Least Common Multiple of 69/204, 58/255, 300/133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 69/204, 58/255, 300/133 quickly i.e. 200100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/204, 58/255, 300/133 is 200100.

LCM(69/204, 58/255, 300/133) = 200100

LCM of 69/204, 58/255, 300/133

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 69/204,58/255,300/133

Given numbers are 69/204,58/255,300/133

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 69,58,300

Least Common Multiple of Numerators i.e. LCM of 69,58,300 is 200100.

GCF of Denominators means GCF of 204,255,133 as per the given fractions.

GCF of 204,255,133 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,58,300

LCM of Fractions 69/204,58/255,300/133 is 200100

2 69, 58, 300
3 69, 29, 150
23, 29, 50

∴ So the LCM of the given numbers is 2 x 3 x 23 x 29 x 50 = 200100

Least Common Multiple of 69,58,300 with GCF Formula

Least Common Multiple of 69,58,300 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 69,58,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,58,300) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(69,58,300) x common factors =1 x 6 = 6

LCM(69,58,300) = ( 69 × 58 × 300 ) / 6

LCM(69,58,300) = 1200600 / 6

LCM(69,58,300) = 200100


Lets's calculate GCF of 204,255,133

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 200100/1

Therefore the LCM of Fractions 69/204,58/255,300/133 is 200100

Greatest Common Factor of 204,255,133 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,255,133 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 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Greatest Common Factor

We found the factors 204,255,133 . The biggest common factor number is the GCF number.
So the greatest common factor 204,255,133 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 69/204, 58/255, 300/133

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 69/204, 58/255, 300/133?

Answer: LCM of Numerators as per given numbers 69/204, 58/255, 300/133 is

LCM of Numerators i.e. for 69,58,300 is 200100

GCF of denominators i.e. for 204,255,133 is 1.

Thus, LCM of Fractions is 200100.Finally, LCM of Fractions for 69/204, 58/255, 300/133 is 200100.