Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2632/310, 9655/4041 quickly i.e. 25411960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2632/310, 9655/4041 is 25411960.
LCM(2632/310, 9655/4041) = 25411960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2632/310,9655/4041
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 2632,9655
Least Common Multiple of Numerators i.e. LCM of 2632,9655 is 25411960.
GCF of Denominators means GCF of 310,4041 as per the given fractions.
GCF of 310,4041 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2632,9655
Given numbers has no common factors except 1. So, there LCM is their product i.e 25411960
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 2632,9655 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2632,9655) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2632,9655) x common factors =1 x 1 = 1
LCM(2632,9655) = ( 2632 × 9655 ) / 1
LCM(2632,9655) = 25411960 / 1
LCM(2632,9655) = 25411960
Lets's calculate GCF of 310,4041
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25411960/1
Therefore the LCM of Fractions 2632/310,9655/4041 is 25411960
Factors of 310
List of positive integer factors of 310 that divides 310 without a remainder.
1,2,5,10,31,62,155,310
Factors of 4041
List of positive integer factors of 4041 that divides 4041 without a remainder.
1,3,9,449,1347,4041
Greatest Common Factor
We found the factors 310,4041 . The biggest common factor number is the GCF number.
So the greatest common factor 310,4041 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 2632/310, 9655/4041?
Answer: LCM of Numerators as per given numbers 2632/310, 9655/4041 is
LCM of Numerators i.e. for 2632,9655 is 25411960
GCF of denominators i.e. for 310,4041 is 1.
Thus, LCM of Fractions is 25411960.Finally, LCM of Fractions for 2632/310, 9655/4041 is 25411960.