Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2019/817, 4141/2888 quickly i.e. 8360679/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2019/817, 4141/2888 is 8360679/19.
LCM(2019/817, 4141/2888) = 8360679/19
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2019/817,4141/2888
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 2019,4141
Least Common Multiple of Numerators i.e. LCM of 2019,4141 is 8360679.
GCF of Denominators means GCF of 817,2888 as per the given fractions.
GCF of 817,2888 is 19 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2019,4141
Given numbers has no common factors except 1. So, there LCM is their product i.e 8360679
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 2019,4141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2019,4141) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2019,4141) x common factors =1 x 1 = 1
LCM(2019,4141) = ( 2019 × 4141 ) / 1
LCM(2019,4141) = 8360679 / 1
LCM(2019,4141) = 8360679
Lets's calculate GCF of 817,2888
19 | 817, 2888 |
43, 152 |
∴ So the GCF of the given numbers is 19 = 19
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8360679/19
Therefore the LCM of Fractions 2019/817,4141/2888 is 8360679/19
Factors of 817
List of positive integer factors of 817 that divides 817 without a remainder.
1,19,43,817
Factors of 2888
List of positive integer factors of 2888 that divides 2888 without a remainder.
1,2,4,8,19,38,76,152,361,722,1444,2888
Greatest Common Factor
We found the factors 817,2888 . The biggest common factor number is the GCF number.
So the greatest common factor 817,2888 is 19.
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 2019/817, 4141/2888?
Answer: LCM of Numerators as per given numbers 2019/817, 4141/2888 is
LCM of Numerators i.e. for 2019,4141 is 8360679
GCF of denominators i.e. for 817,2888 is 19.
Thus, LCM of Fractions is 8360679/19.Finally, LCM of Fractions for 2019/817, 4141/2888 is 8360679/19.