Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/35, 25/522, 953/194 quickly i.e. 381200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/35, 25/522, 953/194 is 381200.
LCM(80/35, 25/522, 953/194) = 381200
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/35,25/522,953/194
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 80,25,953
Least Common Multiple of Numerators i.e. LCM of 80,25,953 is 381200.
GCF of Denominators means GCF of 35,522,194 as per the given fractions.
GCF of 35,522,194 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,25,953
5 | 80, 25, 953 |
16, 5, 953 |
∴ So the LCM of the given numbers is 5 x 16 x 5 x 953 = 381200
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 80,25,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,25,953) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(80,25,953) x common factors =1 x 5 = 5
LCM(80,25,953) = ( 80 × 25 × 953 ) / 5
LCM(80,25,953) = 1906000 / 5
LCM(80,25,953) = 381200
Lets's calculate GCF of 35,522,194
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 381200/1
Therefore the LCM of Fractions 80/35,25/522,953/194 is 381200
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 522
List of positive integer factors of 522 that divides 522 without a remainder.
1,2,3,6,9,18,29,58,87,174,261,522
Factors of 194
List of positive integer factors of 194 that divides 194 without a remainder.
1,2,97,194
Greatest Common Factor
We found the factors 35,522,194 . The biggest common factor number is the GCF number.
So the greatest common factor 35,522,194 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 80/35, 25/522, 953/194?
Answer: LCM of Numerators as per given numbers 80/35, 25/522, 953/194 is
LCM of Numerators i.e. for 80,25,953 is 381200
GCF of denominators i.e. for 35,522,194 is 1.
Thus, LCM of Fractions is 381200.Finally, LCM of Fractions for 80/35, 25/522, 953/194 is 381200.