Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 612/534, 693/855, 881/860 quickly i.e. 41516244 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 612/534, 693/855, 881/860 is 41516244.
LCM(612/534, 693/855, 881/860) = 41516244
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 612/534,693/855,881/860
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 612,693,881
Least Common Multiple of Numerators i.e. LCM of 612,693,881 is 41516244.
GCF of Denominators means GCF of 534,855,860 as per the given fractions.
GCF of 534,855,860 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 612,693,881
3 | 612, 693, 881 |
3 | 204, 231, 881 |
68, 77, 881 |
∴ So the LCM of the given numbers is 3 x 3 x 68 x 77 x 881 = 41516244
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 612,693,881 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(612,693,881) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(612,693,881) x common factors =1 x 9 = 9
LCM(612,693,881) = ( 612 × 693 × 881 ) / 9
LCM(612,693,881) = 373646196 / 9
LCM(612,693,881) = 41516244
Lets's calculate GCF of 534,855,860
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41516244/1
Therefore the LCM of Fractions 612/534,693/855,881/860 is 41516244
Factors of 534
List of positive integer factors of 534 that divides 534 without a remainder.
1,2,3,6,89,178,267,534
Factors of 855
List of positive integer factors of 855 that divides 855 without a remainder.
1,3,5,9,15,19,45,57,95,171,285,855
Factors of 860
List of positive integer factors of 860 that divides 860 without a remainder.
1,2,4,5,10,20,43,86,172,215,430,860
Greatest Common Factor
We found the factors 534,855,860 . The biggest common factor number is the GCF number.
So the greatest common factor 534,855,860 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 612/534, 693/855, 881/860?
Answer: LCM of Numerators as per given numbers 612/534, 693/855, 881/860 is
LCM of Numerators i.e. for 612,693,881 is 41516244
GCF of denominators i.e. for 534,855,860 is 1.
Thus, LCM of Fractions is 41516244.Finally, LCM of Fractions for 612/534, 693/855, 881/860 is 41516244.