Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 19/23, 279/50, 837/950 quickly i.e. 15903 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 19/23, 279/50, 837/950 is 15903.
LCM(19/23, 279/50, 837/950) = 15903
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 19/23,279/50,837/950
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 19,279,837
Least Common Multiple of Numerators i.e. LCM of 19,279,837 is 15903.
GCF of Denominators means GCF of 23,50,950 as per the given fractions.
GCF of 23,50,950 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 19,279,837
3 | 19, 279, 837 |
3 | 19, 93, 279 |
31 | 19, 31, 93 |
19, 1, 3 |
∴ So the LCM of the given numbers is 3 x 3 x 31 x 19 x 1 x 3 = 15903
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 19,279,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,279,837) = 1
common factors(in case of two or more numbers have common factors) = 279
GCF(19,279,837) x common factors =1 x 279 = 279
LCM(19,279,837) = ( 19 × 279 × 837 ) / 279
LCM(19,279,837) = 4436937 / 279
LCM(19,279,837) = 15903
Lets's calculate GCF of 23,50,950
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15903/1
Therefore the LCM of Fractions 19/23,279/50,837/950 is 15903
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
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 23,50,950 . The biggest common factor number is the GCF number.
So the greatest common factor 23,50,950 is 1.
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 19/23, 279/50, 837/950?
Answer: LCM of Numerators as per given numbers 19/23, 279/50, 837/950 is
LCM of Numerators i.e. for 19,279,837 is 15903
GCF of denominators i.e. for 23,50,950 is 1.
Thus, LCM of Fractions is 15903.Finally, LCM of Fractions for 19/23, 279/50, 837/950 is 15903.