Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 50/514, 746/134, 739/502 quickly i.e. 6891175 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 50/514, 746/134, 739/502 is 6891175.
LCM(50/514, 746/134, 739/502) = 6891175
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 50/514,746/134,739/502
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 50,746,739
Least Common Multiple of Numerators i.e. LCM of 50,746,739 is 13782350.
GCF of Denominators means GCF of 514,134,502 as per the given fractions.
GCF of 514,134,502 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 50,746,739
2 | 50, 746, 739 |
25, 373, 739 |
∴ So the LCM of the given numbers is 2 x 25 x 373 x 739 = 13782350
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 50,746,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,746,739) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(50,746,739) x common factors =1 x 2 = 2
LCM(50,746,739) = ( 50 × 746 × 739 ) / 2
LCM(50,746,739) = 27564700 / 2
LCM(50,746,739) = 13782350
Lets's calculate GCF of 514,134,502
2 | 514, 134, 502 |
257, 67, 251 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13782350/2
Therefore the LCM of Fractions 50/514,746/134,739/502 is 6891175
Factors of 514
List of positive integer factors of 514 that divides 514 without a remainder.
1,2,257,514
Factors of 134
List of positive integer factors of 134 that divides 134 without a remainder.
1,2,67,134
Factors of 502
List of positive integer factors of 502 that divides 502 without a remainder.
1,2,251,502
Greatest Common Factor
We found the factors 514,134,502 . The biggest common factor number is the GCF number.
So the greatest common factor 514,134,502 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 50/514, 746/134, 739/502?
Answer: LCM of Numerators as per given numbers 50/514, 746/134, 739/502 is
LCM of Numerators i.e. for 50,746,739 is 13782350
GCF of denominators i.e. for 514,134,502 is 2.
Thus, LCM of Fractions is 6891175.Finally, LCM of Fractions for 50/514, 746/134, 739/502 is 6891175.