Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 863/25, 417/30, 130/624 quickly i.e. 46783230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 863/25, 417/30, 130/624 is 46783230.
LCM(863/25, 417/30, 130/624) = 46783230
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 863/25,417/30,130/624
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 863,417,130
Least Common Multiple of Numerators i.e. LCM of 863,417,130 is 46783230.
GCF of Denominators means GCF of 25,30,624 as per the given fractions.
GCF of 25,30,624 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 863,417,130
Given numbers has no common factors except 1. So, there LCM is their product i.e 46783230
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 863,417,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(863,417,130) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(863,417,130) x common factors =1 x 1 = 1
LCM(863,417,130) = ( 863 × 417 × 130 ) / 1
LCM(863,417,130) = 46783230 / 1
LCM(863,417,130) = 46783230
Lets's calculate GCF of 25,30,624
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46783230/1
Therefore the LCM of Fractions 863/25,417/30,130/624 is 46783230
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 624
List of positive integer factors of 624 that divides 624 without a remainder.
1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624
Greatest Common Factor
We found the factors 25,30,624 . The biggest common factor number is the GCF number.
So the greatest common factor 25,30,624 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 863/25, 417/30, 130/624?
Answer: LCM of Numerators as per given numbers 863/25, 417/30, 130/624 is
LCM of Numerators i.e. for 863,417,130 is 46783230
GCF of denominators i.e. for 25,30,624 is 1.
Thus, LCM of Fractions is 46783230.Finally, LCM of Fractions for 863/25, 417/30, 130/624 is 46783230.