Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 37/116, 329/286, 286/950 quickly i.e. 1740739 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 37/116, 329/286, 286/950 is 1740739.
LCM(37/116, 329/286, 286/950) = 1740739
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 37/116,329/286,286/950
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 37,329,286
Least Common Multiple of Numerators i.e. LCM of 37,329,286 is 3481478.
GCF of Denominators means GCF of 116,286,950 as per the given fractions.
GCF of 116,286,950 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 37,329,286
Given numbers has no common factors except 1. So, there LCM is their product i.e 3481478
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 37,329,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,329,286) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,329,286) x common factors =1 x 1 = 1
LCM(37,329,286) = ( 37 × 329 × 286 ) / 1
LCM(37,329,286) = 3481478 / 1
LCM(37,329,286) = 3481478
Lets's calculate GCF of 116,286,950
2 | 116, 286, 950 |
58, 143, 475 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3481478/2
Therefore the LCM of Fractions 37/116,329/286,286/950 is 1740739
Factors of 116
List of positive integer factors of 116 that divides 116 without a remainder.
1,2,4,29,58,116
Factors of 286
List of positive integer factors of 286 that divides 286 without a remainder.
1,2,11,13,22,26,143,286
Factors of 950
List of positive integer factors of 950 that divides 950 without a remainder.
1,2,5,10,19,25,38,50,95,190,475,950
Greatest Common Factor
We found the factors 116,286,950 . The biggest common factor number is the GCF number.
So the greatest common factor 116,286,950 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 37/116, 329/286, 286/950?
Answer: LCM of Numerators as per given numbers 37/116, 329/286, 286/950 is
LCM of Numerators i.e. for 37,329,286 is 3481478
GCF of denominators i.e. for 116,286,950 is 2.
Thus, LCM of Fractions is 1740739.Finally, LCM of Fractions for 37/116, 329/286, 286/950 is 1740739.