Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 314/638, 949/288, 518/331 quickly i.e. 77178374 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 314/638, 949/288, 518/331 is 77178374.
LCM(314/638, 949/288, 518/331) = 77178374
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 314/638,949/288,518/331
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 314,949,518
Least Common Multiple of Numerators i.e. LCM of 314,949,518 is 77178374.
GCF of Denominators means GCF of 638,288,331 as per the given fractions.
GCF of 638,288,331 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 314,949,518
2 | 314, 949, 518 |
157, 949, 259 |
∴ So the LCM of the given numbers is 2 x 157 x 949 x 259 = 77178374
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 314,949,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(314,949,518) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(314,949,518) x common factors =1 x 2 = 2
LCM(314,949,518) = ( 314 × 949 × 518 ) / 2
LCM(314,949,518) = 154356748 / 2
LCM(314,949,518) = 77178374
Lets's calculate GCF of 638,288,331
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77178374/1
Therefore the LCM of Fractions 314/638,949/288,518/331 is 77178374
Factors of 638
List of positive integer factors of 638 that divides 638 without a remainder.
1,2,11,22,29,58,319,638
Factors of 288
List of positive integer factors of 288 that divides 288 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Factors of 331
List of positive integer factors of 331 that divides 331 without a remainder.
1,331
Greatest Common Factor
We found the factors 638,288,331 . The biggest common factor number is the GCF number.
So the greatest common factor 638,288,331 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 314/638, 949/288, 518/331?
Answer: LCM of Numerators as per given numbers 314/638, 949/288, 518/331 is
LCM of Numerators i.e. for 314,949,518 is 77178374
GCF of denominators i.e. for 638,288,331 is 1.
Thus, LCM of Fractions is 77178374.Finally, LCM of Fractions for 314/638, 949/288, 518/331 is 77178374.