Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 250/24, 316/65, 965/241 quickly i.e. 7623500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 250/24, 316/65, 965/241 is 7623500.
LCM(250/24, 316/65, 965/241) = 7623500
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 250/24,316/65,965/241
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 250,316,965
Least Common Multiple of Numerators i.e. LCM of 250,316,965 is 7623500.
GCF of Denominators means GCF of 24,65,241 as per the given fractions.
GCF of 24,65,241 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 250,316,965
2 | 250, 316, 965 |
5 | 125, 158, 965 |
25, 158, 193 |
∴ So the LCM of the given numbers is 2 x 5 x 25 x 158 x 193 = 7623500
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 250,316,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(250,316,965) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(250,316,965) x common factors =1 x 10 = 10
LCM(250,316,965) = ( 250 × 316 × 965 ) / 10
LCM(250,316,965) = 76235000 / 10
LCM(250,316,965) = 7623500
Lets's calculate GCF of 24,65,241
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7623500/1
Therefore the LCM of Fractions 250/24,316/65,965/241 is 7623500
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 241
List of positive integer factors of 241 that divides 241 without a remainder.
1,241
Greatest Common Factor
We found the factors 24,65,241 . The biggest common factor number is the GCF number.
So the greatest common factor 24,65,241 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 250/24, 316/65, 965/241?
Answer: LCM of Numerators as per given numbers 250/24, 316/65, 965/241 is
LCM of Numerators i.e. for 250,316,965 is 7623500
GCF of denominators i.e. for 24,65,241 is 1.
Thus, LCM of Fractions is 7623500.Finally, LCM of Fractions for 250/24, 316/65, 965/241 is 7623500.