Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6/982, 74/866, 95/808 quickly i.e. 10545 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6/982, 74/866, 95/808 is 10545.
LCM(6/982, 74/866, 95/808) = 10545
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6/982,74/866,95/808
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 6,74,95
Least Common Multiple of Numerators i.e. LCM of 6,74,95 is 21090.
GCF of Denominators means GCF of 982,866,808 as per the given fractions.
GCF of 982,866,808 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6,74,95
2 | 6, 74, 95 |
3, 37, 95 |
∴ So the LCM of the given numbers is 2 x 3 x 37 x 95 = 21090
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 6,74,95 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6,74,95) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(6,74,95) x common factors =1 x 2 = 2
LCM(6,74,95) = ( 6 × 74 × 95 ) / 2
LCM(6,74,95) = 42180 / 2
LCM(6,74,95) = 21090
Lets's calculate GCF of 982,866,808
2 | 982, 866, 808 |
491, 433, 404 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21090/2
Therefore the LCM of Fractions 6/982,74/866,95/808 is 10545
Factors of 982
List of positive integer factors of 982 that divides 982 without a remainder.
1,2,491,982
Factors of 866
List of positive integer factors of 866 that divides 866 without a remainder.
1,2,433,866
Factors of 808
List of positive integer factors of 808 that divides 808 without a remainder.
1,2,4,8,101,202,404,808
Greatest Common Factor
We found the factors 982,866,808 . The biggest common factor number is the GCF number.
So the greatest common factor 982,866,808 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 6/982, 74/866, 95/808?
Answer: LCM of Numerators as per given numbers 6/982, 74/866, 95/808 is
LCM of Numerators i.e. for 6,74,95 is 21090
GCF of denominators i.e. for 982,866,808 is 2.
Thus, LCM of Fractions is 10545.Finally, LCM of Fractions for 6/982, 74/866, 95/808 is 10545.