Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/870, 7667/1616 quickly i.e. 7667 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/870, 7667/1616 is 7667.
LCM(82/870, 7667/1616) = 7667
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/870,7667/1616
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 82,7667
Least Common Multiple of Numerators i.e. LCM of 82,7667 is 15334.
GCF of Denominators means GCF of 870,1616 as per the given fractions.
GCF of 870,1616 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,7667
41 | 82, 7667 |
2, 187 |
∴ So the LCM of the given numbers is 41 x 2 x 187 = 15334
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 82,7667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,7667) = 41
common factors(in case of two or more numbers have common factors) = 1
GCF(82,7667) x common factors =41 x 1 = 41
LCM(82,7667) = ( 82 × 7667 ) / 41
LCM(82,7667) = 628694 / 41
LCM(82,7667) = 15334
Lets's calculate GCF of 870,1616
2 | 870, 1616 |
435, 808 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15334/2
Therefore the LCM of Fractions 82/870,7667/1616 is 7667
Factors of 870
List of positive integer factors of 870 that divides 870 without a remainder.
1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Factors of 1616
List of positive integer factors of 1616 that divides 1616 without a remainder.
1,2,4,8,16,101,202,404,808,1616
Greatest Common Factor
We found the factors 870,1616 . The biggest common factor number is the GCF number.
So the greatest common factor 870,1616 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 82/870, 7667/1616?
Answer: LCM of Numerators as per given numbers 82/870, 7667/1616 is
LCM of Numerators i.e. for 82,7667 is 15334
GCF of denominators i.e. for 870,1616 is 2.
Thus, LCM of Fractions is 7667.Finally, LCM of Fractions for 82/870, 7667/1616 is 7667.