Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 50/130, 3729/2035 quickly i.e. 37290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 50/130, 3729/2035 is 37290.
LCM(50/130, 3729/2035) = 37290
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 50/130,3729/2035
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 50,3729
Least Common Multiple of Numerators i.e. LCM of 50,3729 is 186450.
GCF of Denominators means GCF of 130,2035 as per the given fractions.
GCF of 130,2035 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 50,3729
Given numbers has no common factors except 1. So, there LCM is their product i.e 186450
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 50,3729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,3729) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(50,3729) x common factors =1 x 1 = 1
LCM(50,3729) = ( 50 × 3729 ) / 1
LCM(50,3729) = 186450 / 1
LCM(50,3729) = 186450
Lets's calculate GCF of 130,2035
5 | 130, 2035 |
26, 407 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 186450/5
Therefore the LCM of Fractions 50/130,3729/2035 is 37290
Factors of 130
List of positive integer factors of 130 that divides 130 without a remainder.
1,2,5,10,13,26,65,130
Factors of 2035
List of positive integer factors of 2035 that divides 2035 without a remainder.
1,5,11,37,55,185,407,2035
Greatest Common Factor
We found the factors 130,2035 . The biggest common factor number is the GCF number.
So the greatest common factor 130,2035 is 5.
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 50/130, 3729/2035?
Answer: LCM of Numerators as per given numbers 50/130, 3729/2035 is
LCM of Numerators i.e. for 50,3729 is 186450
GCF of denominators i.e. for 130,2035 is 5.
Thus, LCM of Fractions is 37290.Finally, LCM of Fractions for 50/130, 3729/2035 is 37290.