Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 78/244, 2903/2000 quickly i.e. 226434/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 78/244, 2903/2000 is 226434/4.
LCM(78/244, 2903/2000) = 226434/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 78/244,2903/2000
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 78,2903
Least Common Multiple of Numerators i.e. LCM of 78,2903 is 226434.
GCF of Denominators means GCF of 244,2000 as per the given fractions.
GCF of 244,2000 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 78,2903
Given numbers has no common factors except 1. So, there LCM is their product i.e 226434
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 78,2903 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,2903) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(78,2903) x common factors =1 x 1 = 1
LCM(78,2903) = ( 78 × 2903 ) / 1
LCM(78,2903) = 226434 / 1
LCM(78,2903) = 226434
Lets's calculate GCF of 244,2000
2 | 244, 2000 |
2 | 122, 1000 |
61, 500 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 226434/4
Therefore the LCM of Fractions 78/244,2903/2000 is 226434/4
Factors of 244
List of positive integer factors of 244 that divides 244 without a remainder.
1,2,4,61,122,244
Factors of 2000
List of positive integer factors of 2000 that divides 2000 without a remainder.
1,2,4,5,8,10,16,20,25,40,50,80,100,125,200,250,400,500,1000,2000
Greatest Common Factor
We found the factors 244,2000 . The biggest common factor number is the GCF number.
So the greatest common factor 244,2000 is 4.
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 78/244, 2903/2000?
Answer: LCM of Numerators as per given numbers 78/244, 2903/2000 is
LCM of Numerators i.e. for 78,2903 is 226434
GCF of denominators i.e. for 244,2000 is 4.
Thus, LCM of Fractions is 226434/4.Finally, LCM of Fractions for 78/244, 2903/2000 is 226434/4.