Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2708/87, 9909/186 quickly i.e. 8944524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2708/87, 9909/186 is 8944524.
LCM(2708/87, 9909/186) = 8944524
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2708/87,9909/186
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 2708,9909
Least Common Multiple of Numerators i.e. LCM of 2708,9909 is 26833572.
GCF of Denominators means GCF of 87,186 as per the given fractions.
GCF of 87,186 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2708,9909
Given numbers has no common factors except 1. So, there LCM is their product i.e 26833572
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 2708,9909 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2708,9909) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2708,9909) x common factors =1 x 1 = 1
LCM(2708,9909) = ( 2708 × 9909 ) / 1
LCM(2708,9909) = 26833572 / 1
LCM(2708,9909) = 26833572
Lets's calculate GCF of 87,186
3 | 87, 186 |
29, 62 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26833572/3
Therefore the LCM of Fractions 2708/87,9909/186 is 8944524
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 186
List of positive integer factors of 186 that divides 186 without a remainder.
1,2,3,6,31,62,93,186
Greatest Common Factor
We found the factors 87,186 . The biggest common factor number is the GCF number.
So the greatest common factor 87,186 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 2708/87, 9909/186?
Answer: LCM of Numerators as per given numbers 2708/87, 9909/186 is
LCM of Numerators i.e. for 2708,9909 is 26833572
GCF of denominators i.e. for 87,186 is 3.
Thus, LCM of Fractions is 8944524.Finally, LCM of Fractions for 2708/87, 9909/186 is 8944524.