Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/373, 59/803, 876/884 quickly i.e. 2119044 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/373, 59/803, 876/884 is 2119044.
LCM(41/373, 59/803, 876/884) = 2119044
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/373,59/803,876/884
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 41,59,876
Least Common Multiple of Numerators i.e. LCM of 41,59,876 is 2119044.
GCF of Denominators means GCF of 373,803,884 as per the given fractions.
GCF of 373,803,884 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,59,876
Given numbers has no common factors except 1. So, there LCM is their product i.e 2119044
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 41,59,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,59,876) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,59,876) x common factors =1 x 1 = 1
LCM(41,59,876) = ( 41 × 59 × 876 ) / 1
LCM(41,59,876) = 2119044 / 1
LCM(41,59,876) = 2119044
Lets's calculate GCF of 373,803,884
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2119044/1
Therefore the LCM of Fractions 41/373,59/803,876/884 is 2119044
Factors of 373
List of positive integer factors of 373 that divides 373 without a remainder.
1,373
Factors of 803
List of positive integer factors of 803 that divides 803 without a remainder.
1,11,73,803
Factors of 884
List of positive integer factors of 884 that divides 884 without a remainder.
1,2,4,13,17,26,34,52,68,221,442,884
Greatest Common Factor
We found the factors 373,803,884 . The biggest common factor number is the GCF number.
So the greatest common factor 373,803,884 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 41/373, 59/803, 876/884?
Answer: LCM of Numerators as per given numbers 41/373, 59/803, 876/884 is
LCM of Numerators i.e. for 41,59,876 is 2119044
GCF of denominators i.e. for 373,803,884 is 1.
Thus, LCM of Fractions is 2119044.Finally, LCM of Fractions for 41/373, 59/803, 876/884 is 2119044.