Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8649/125, 1774/5680 quickly i.e. 15343326/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8649/125, 1774/5680 is 15343326/5.
LCM(8649/125, 1774/5680) = 15343326/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8649/125,1774/5680
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 8649,1774
Least Common Multiple of Numerators i.e. LCM of 8649,1774 is 15343326.
GCF of Denominators means GCF of 125,5680 as per the given fractions.
GCF of 125,5680 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8649,1774
Given numbers has no common factors except 1. So, there LCM is their product i.e 15343326
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 8649,1774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8649,1774) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8649,1774) x common factors =1 x 1 = 1
LCM(8649,1774) = ( 8649 × 1774 ) / 1
LCM(8649,1774) = 15343326 / 1
LCM(8649,1774) = 15343326
Lets's calculate GCF of 125,5680
5 | 125, 5680 |
25, 1136 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15343326/5
Therefore the LCM of Fractions 8649/125,1774/5680 is 15343326/5
Factors of 125
List of positive integer factors of 125 that divides 125 without a remainder.
1,5,25,125
Factors of 5680
List of positive integer factors of 5680 that divides 5680 without a remainder.
1,2,4,5,8,10,16,20,40,71,80,142,284,355,568,710,1136,1420,2840,5680
Greatest Common Factor
We found the factors 125,5680 . The biggest common factor number is the GCF number.
So the greatest common factor 125,5680 is 5.
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 8649/125, 1774/5680?
Answer: LCM of Numerators as per given numbers 8649/125, 1774/5680 is
LCM of Numerators i.e. for 8649,1774 is 15343326
GCF of denominators i.e. for 125,5680 is 5.
Thus, LCM of Fractions is 15343326/5.Finally, LCM of Fractions for 8649/125, 1774/5680 is 15343326/5.