Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 51/398, 306/967, 463/781 quickly i.e. 141678 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 51/398, 306/967, 463/781 is 141678.
LCM(51/398, 306/967, 463/781) = 141678
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 51/398,306/967,463/781
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 51,306,463
Least Common Multiple of Numerators i.e. LCM of 51,306,463 is 141678.
GCF of Denominators means GCF of 398,967,781 as per the given fractions.
GCF of 398,967,781 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 51,306,463
3 | 51, 306, 463 |
17 | 17, 102, 463 |
1, 6, 463 |
∴ So the LCM of the given numbers is 3 x 17 x 1 x 6 x 463 = 141678
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 51,306,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,306,463) = 1
common factors(in case of two or more numbers have common factors) = 51
GCF(51,306,463) x common factors =1 x 51 = 51
LCM(51,306,463) = ( 51 × 306 × 463 ) / 51
LCM(51,306,463) = 7225578 / 51
LCM(51,306,463) = 141678
Lets's calculate GCF of 398,967,781
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 141678/1
Therefore the LCM of Fractions 51/398,306/967,463/781 is 141678
Factors of 398
List of positive integer factors of 398 that divides 398 without a remainder.
1,2,199,398
Factors of 967
List of positive integer factors of 967 that divides 967 without a remainder.
1,967
Factors of 781
List of positive integer factors of 781 that divides 781 without a remainder.
1,11,71,781
Greatest Common Factor
We found the factors 398,967,781 . The biggest common factor number is the GCF number.
So the greatest common factor 398,967,781 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 51/398, 306/967, 463/781?
Answer: LCM of Numerators as per given numbers 51/398, 306/967, 463/781 is
LCM of Numerators i.e. for 51,306,463 is 141678
GCF of denominators i.e. for 398,967,781 is 1.
Thus, LCM of Fractions is 141678.Finally, LCM of Fractions for 51/398, 306/967, 463/781 is 141678.