Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 19/681, 2839/4368 quickly i.e. 53941/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 19/681, 2839/4368 is 53941/3.
LCM(19/681, 2839/4368) = 53941/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 19/681,2839/4368
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 19,2839
Least Common Multiple of Numerators i.e. LCM of 19,2839 is 53941.
GCF of Denominators means GCF of 681,4368 as per the given fractions.
GCF of 681,4368 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 19,2839
Given numbers has no common factors except 1. So, there LCM is their product i.e 53941
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 19,2839 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,2839) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,2839) x common factors =1 x 1 = 1
LCM(19,2839) = ( 19 × 2839 ) / 1
LCM(19,2839) = 53941 / 1
LCM(19,2839) = 53941
Lets's calculate GCF of 681,4368
3 | 681, 4368 |
227, 1456 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53941/3
Therefore the LCM of Fractions 19/681,2839/4368 is 53941/3
Factors of 681
List of positive integer factors of 681 that divides 681 without a remainder.
1,3,227,681
Factors of 4368
List of positive integer factors of 4368 that divides 4368 without a remainder.
1,2,3,4,6,7,8,12,13,14,16,21,24,26,28,39,42,48,52,56,78,84,91,104,112,156,168,182,208,273,312,336,364,546,624,728,1092,1456,2184,4368
Greatest Common Factor
We found the factors 681,4368 . The biggest common factor number is the GCF number.
So the greatest common factor 681,4368 is 3.
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 19/681, 2839/4368?
Answer: LCM of Numerators as per given numbers 19/681, 2839/4368 is
LCM of Numerators i.e. for 19,2839 is 53941
GCF of denominators i.e. for 681,4368 is 3.
Thus, LCM of Fractions is 53941/3.Finally, LCM of Fractions for 19/681, 2839/4368 is 53941/3.