Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 391/951, 355/418, 818/512 quickly i.e. 113542490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 391/951, 355/418, 818/512 is 113542490.
LCM(391/951, 355/418, 818/512) = 113542490
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 391/951,355/418,818/512
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 391,355,818
Least Common Multiple of Numerators i.e. LCM of 391,355,818 is 113542490.
GCF of Denominators means GCF of 951,418,512 as per the given fractions.
GCF of 951,418,512 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 391,355,818
Given numbers has no common factors except 1. So, there LCM is their product i.e 113542490
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 391,355,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(391,355,818) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(391,355,818) x common factors =1 x 1 = 1
LCM(391,355,818) = ( 391 × 355 × 818 ) / 1
LCM(391,355,818) = 113542490 / 1
LCM(391,355,818) = 113542490
Lets's calculate GCF of 951,418,512
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113542490/1
Therefore the LCM of Fractions 391/951,355/418,818/512 is 113542490
Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1,3,317,951
Factors of 418
List of positive integer factors of 418 that divides 418 without a remainder.
1,2,11,19,22,38,209,418
Factors of 512
List of positive integer factors of 512 that divides 512 without a remainder.
1,2,4,8,16,32,64,128,256,512
Greatest Common Factor
We found the factors 951,418,512 . The biggest common factor number is the GCF number.
So the greatest common factor 951,418,512 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 391/951, 355/418, 818/512?
Answer: LCM of Numerators as per given numbers 391/951, 355/418, 818/512 is
LCM of Numerators i.e. for 391,355,818 is 113542490
GCF of denominators i.e. for 951,418,512 is 1.
Thus, LCM of Fractions is 113542490.Finally, LCM of Fractions for 391/951, 355/418, 818/512 is 113542490.