Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 51/519, 59/237, 935/375 quickly i.e. 55165 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 51/519, 59/237, 935/375 is 55165.
LCM(51/519, 59/237, 935/375) = 55165
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 51/519,59/237,935/375
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 51,59,935
Least Common Multiple of Numerators i.e. LCM of 51,59,935 is 165495.
GCF of Denominators means GCF of 519,237,375 as per the given fractions.
GCF of 519,237,375 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 51,59,935
17 | 51, 59, 935 |
3, 59, 55 |
∴ So the LCM of the given numbers is 17 x 3 x 59 x 55 = 165495
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 51,59,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,59,935) = 1
common factors(in case of two or more numbers have common factors) = 17
GCF(51,59,935) x common factors =1 x 17 = 17
LCM(51,59,935) = ( 51 × 59 × 935 ) / 17
LCM(51,59,935) = 2813415 / 17
LCM(51,59,935) = 165495
Lets's calculate GCF of 519,237,375
3 | 519, 237, 375 |
173, 79, 125 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 165495/3
Therefore the LCM of Fractions 51/519,59/237,935/375 is 55165
Factors of 519
List of positive integer factors of 519 that divides 519 without a remainder.
1,3,173,519
Factors of 237
List of positive integer factors of 237 that divides 237 without a remainder.
1,3,79,237
Factors of 375
List of positive integer factors of 375 that divides 375 without a remainder.
1,3,5,15,25,75,125,375
Greatest Common Factor
We found the factors 519,237,375 . The biggest common factor number is the GCF number.
So the greatest common factor 519,237,375 is 3.
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 51/519, 59/237, 935/375?
Answer: LCM of Numerators as per given numbers 51/519, 59/237, 935/375 is
LCM of Numerators i.e. for 51,59,935 is 165495
GCF of denominators i.e. for 519,237,375 is 3.
Thus, LCM of Fractions is 55165.Finally, LCM of Fractions for 51/519, 59/237, 935/375 is 55165.