Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5/866, 84/270, 77/978 quickly i.e. 2310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5/866, 84/270, 77/978 is 2310.
LCM(5/866, 84/270, 77/978) = 2310
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5/866,84/270,77/978
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 5,84,77
Least Common Multiple of Numerators i.e. LCM of 5,84,77 is 4620.
GCF of Denominators means GCF of 866,270,978 as per the given fractions.
GCF of 866,270,978 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5,84,77
7 | 5, 84, 77 |
5, 12, 11 |
∴ So the LCM of the given numbers is 7 x 5 x 12 x 11 = 4620
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 5,84,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5,84,77) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(5,84,77) x common factors =1 x 7 = 7
LCM(5,84,77) = ( 5 × 84 × 77 ) / 7
LCM(5,84,77) = 32340 / 7
LCM(5,84,77) = 4620
Lets's calculate GCF of 866,270,978
2 | 866, 270, 978 |
433, 135, 489 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4620/2
Therefore the LCM of Fractions 5/866,84/270,77/978 is 2310
Factors of 866
List of positive integer factors of 866 that divides 866 without a remainder.
1,2,433,866
Factors of 270
List of positive integer factors of 270 that divides 270 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270
Factors of 978
List of positive integer factors of 978 that divides 978 without a remainder.
1,2,3,6,163,326,489,978
Greatest Common Factor
We found the factors 866,270,978 . The biggest common factor number is the GCF number.
So the greatest common factor 866,270,978 is 2.
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 5/866, 84/270, 77/978?
Answer: LCM of Numerators as per given numbers 5/866, 84/270, 77/978 is
LCM of Numerators i.e. for 5,84,77 is 4620
GCF of denominators i.e. for 866,270,978 is 2.
Thus, LCM of Fractions is 2310.Finally, LCM of Fractions for 5/866, 84/270, 77/978 is 2310.