Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 51/14, 12/10, 57/500 quickly i.e. 1938 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 51/14, 12/10, 57/500 is 1938.
LCM(51/14, 12/10, 57/500) = 1938
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 51/14,12/10,57/500
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 51,12,57
Least Common Multiple of Numerators i.e. LCM of 51,12,57 is 3876.
GCF of Denominators means GCF of 14,10,500 as per the given fractions.
GCF of 14,10,500 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 51,12,57
3 | 51, 12, 57 |
17, 4, 19 |
∴ So the LCM of the given numbers is 3 x 17 x 4 x 19 = 3876
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 51,12,57 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,12,57) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(51,12,57) x common factors =3 x 3 = 9
LCM(51,12,57) = ( 51 × 12 × 57 ) / 9
LCM(51,12,57) = 34884 / 9
LCM(51,12,57) = 3876
Lets's calculate GCF of 14,10,500
2 | 14, 10, 500 |
7, 5, 250 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3876/2
Therefore the LCM of Fractions 51/14,12/10,57/500 is 1938
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 500
List of positive integer factors of 500 that divides 500 without a remainder.
1,2,4,5,10,20,25,50,100,125,250,500
Greatest Common Factor
We found the factors 14,10,500 . The biggest common factor number is the GCF number.
So the greatest common factor 14,10,500 is 2.
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 51/14, 12/10, 57/500?
Answer: LCM of Numerators as per given numbers 51/14, 12/10, 57/500 is
LCM of Numerators i.e. for 51,12,57 is 3876
GCF of denominators i.e. for 14,10,500 is 2.
Thus, LCM of Fractions is 1938.Finally, LCM of Fractions for 51/14, 12/10, 57/500 is 1938.