Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 78/655, 90/394, 257/204 quickly i.e. 300690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 78/655, 90/394, 257/204 is 300690.
LCM(78/655, 90/394, 257/204) = 300690
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 78/655,90/394,257/204
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 78,90,257
Least Common Multiple of Numerators i.e. LCM of 78,90,257 is 300690.
GCF of Denominators means GCF of 655,394,204 as per the given fractions.
GCF of 655,394,204 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 78,90,257
2 | 78, 90, 257 |
3 | 39, 45, 257 |
13, 15, 257 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 15 x 257 = 300690
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 78,90,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,90,257) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(78,90,257) x common factors =1 x 6 = 6
LCM(78,90,257) = ( 78 × 90 × 257 ) / 6
LCM(78,90,257) = 1804140 / 6
LCM(78,90,257) = 300690
Lets's calculate GCF of 655,394,204
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 300690/1
Therefore the LCM of Fractions 78/655,90/394,257/204 is 300690
Factors of 655
List of positive integer factors of 655 that divides 655 without a remainder.
1,5,131,655
Factors of 394
List of positive integer factors of 394 that divides 394 without a remainder.
1,2,197,394
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
Greatest Common Factor
We found the factors 655,394,204 . The biggest common factor number is the GCF number.
So the greatest common factor 655,394,204 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 78/655, 90/394, 257/204?
Answer: LCM of Numerators as per given numbers 78/655, 90/394, 257/204 is
LCM of Numerators i.e. for 78,90,257 is 300690
GCF of denominators i.e. for 655,394,204 is 1.
Thus, LCM of Fractions is 300690.Finally, LCM of Fractions for 78/655, 90/394, 257/204 is 300690.