Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 113/478, 191/920, 610/371 quickly i.e. 13165630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 113/478, 191/920, 610/371 is 13165630.
LCM(113/478, 191/920, 610/371) = 13165630
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 113/478,191/920,610/371
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 113,191,610
Least Common Multiple of Numerators i.e. LCM of 113,191,610 is 13165630.
GCF of Denominators means GCF of 478,920,371 as per the given fractions.
GCF of 478,920,371 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 113,191,610
Given numbers has no common factors except 1. So, there LCM is their product i.e 13165630
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 113,191,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(113,191,610) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(113,191,610) x common factors =1 x 1 = 1
LCM(113,191,610) = ( 113 × 191 × 610 ) / 1
LCM(113,191,610) = 13165630 / 1
LCM(113,191,610) = 13165630
Lets's calculate GCF of 478,920,371
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13165630/1
Therefore the LCM of Fractions 113/478,191/920,610/371 is 13165630
Factors of 478
List of positive integer factors of 478 that divides 478 without a remainder.
1,2,239,478
Factors of 920
List of positive integer factors of 920 that divides 920 without a remainder.
1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Factors of 371
List of positive integer factors of 371 that divides 371 without a remainder.
1,7,53,371
Greatest Common Factor
We found the factors 478,920,371 . The biggest common factor number is the GCF number.
So the greatest common factor 478,920,371 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 113/478, 191/920, 610/371?
Answer: LCM of Numerators as per given numbers 113/478, 191/920, 610/371 is
LCM of Numerators i.e. for 113,191,610 is 13165630
GCF of denominators i.e. for 478,920,371 is 1.
Thus, LCM of Fractions is 13165630.Finally, LCM of Fractions for 113/478, 191/920, 610/371 is 13165630.