Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 24/747, 314/236, 913/968 quickly i.e. 3440184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 24/747, 314/236, 913/968 is 3440184.
LCM(24/747, 314/236, 913/968) = 3440184
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 24/747,314/236,913/968
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 24,314,913
Least Common Multiple of Numerators i.e. LCM of 24,314,913 is 3440184.
GCF of Denominators means GCF of 747,236,968 as per the given fractions.
GCF of 747,236,968 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 24,314,913
2 | 24, 314, 913 |
12, 157, 913 |
∴ So the LCM of the given numbers is 2 x 12 x 157 x 913 = 3440184
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 24,314,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,314,913) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(24,314,913) x common factors =1 x 2 = 2
LCM(24,314,913) = ( 24 × 314 × 913 ) / 2
LCM(24,314,913) = 6880368 / 2
LCM(24,314,913) = 3440184
Lets's calculate GCF of 747,236,968
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3440184/1
Therefore the LCM of Fractions 24/747,314/236,913/968 is 3440184
Factors of 747
List of positive integer factors of 747 that divides 747 without a remainder.
1,3,9,83,249,747
Factors of 236
List of positive integer factors of 236 that divides 236 without a remainder.
1,2,4,59,118,236
Factors of 968
List of positive integer factors of 968 that divides 968 without a remainder.
1,2,4,8,11,22,44,88,121,242,484,968
Greatest Common Factor
We found the factors 747,236,968 . The biggest common factor number is the GCF number.
So the greatest common factor 747,236,968 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 24/747, 314/236, 913/968?
Answer: LCM of Numerators as per given numbers 24/747, 314/236, 913/968 is
LCM of Numerators i.e. for 24,314,913 is 3440184
GCF of denominators i.e. for 747,236,968 is 1.
Thus, LCM of Fractions is 3440184.Finally, LCM of Fractions for 24/747, 314/236, 913/968 is 3440184.