Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 204/77, 288/65, 242/95 quickly i.e. 592416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 204/77, 288/65, 242/95 is 592416.
LCM(204/77, 288/65, 242/95) = 592416
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 204/77,288/65,242/95
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 204,288,242
Least Common Multiple of Numerators i.e. LCM of 204,288,242 is 592416.
GCF of Denominators means GCF of 77,65,95 as per the given fractions.
GCF of 77,65,95 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 204,288,242
2 | 204, 288, 242 |
2 | 102, 144, 121 |
3 | 51, 72, 121 |
17, 24, 121 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 24 x 121 = 592416
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 204,288,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,288,242) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(204,288,242) x common factors =2 x 12 = 24
LCM(204,288,242) = ( 204 × 288 × 242 ) / 24
LCM(204,288,242) = 14217984 / 24
LCM(204,288,242) = 592416
Lets's calculate GCF of 77,65,95
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 592416/1
Therefore the LCM of Fractions 204/77,288/65,242/95 is 592416
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Greatest Common Factor
We found the factors 77,65,95 . The biggest common factor number is the GCF number.
So the greatest common factor 77,65,95 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 204/77, 288/65, 242/95?
Answer: LCM of Numerators as per given numbers 204/77, 288/65, 242/95 is
LCM of Numerators i.e. for 204,288,242 is 592416
GCF of denominators i.e. for 77,65,95 is 1.
Thus, LCM of Fractions is 592416.Finally, LCM of Fractions for 204/77, 288/65, 242/95 is 592416.