Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 37/985, 5041/6880 quickly i.e. 186517/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 37/985, 5041/6880 is 186517/5.
LCM(37/985, 5041/6880) = 186517/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 37/985,5041/6880
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 37,5041
Least Common Multiple of Numerators i.e. LCM of 37,5041 is 186517.
GCF of Denominators means GCF of 985,6880 as per the given fractions.
GCF of 985,6880 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 37,5041
Given numbers has no common factors except 1. So, there LCM is their product i.e 186517
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 37,5041 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,5041) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,5041) x common factors =1 x 1 = 1
LCM(37,5041) = ( 37 × 5041 ) / 1
LCM(37,5041) = 186517 / 1
LCM(37,5041) = 186517
Lets's calculate GCF of 985,6880
5 | 985, 6880 |
197, 1376 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 186517/5
Therefore the LCM of Fractions 37/985,5041/6880 is 186517/5
Factors of 985
List of positive integer factors of 985 that divides 985 without a remainder.
1,5,197,985
Factors of 6880
List of positive integer factors of 6880 that divides 6880 without a remainder.
1,2,4,5,8,10,16,20,32,40,43,80,86,160,172,215,344,430,688,860,1376,1720,3440,6880
Greatest Common Factor
We found the factors 985,6880 . The biggest common factor number is the GCF number.
So the greatest common factor 985,6880 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 37/985, 5041/6880?
Answer: LCM of Numerators as per given numbers 37/985, 5041/6880 is
LCM of Numerators i.e. for 37,5041 is 186517
GCF of denominators i.e. for 985,6880 is 5.
Thus, LCM of Fractions is 186517/5.Finally, LCM of Fractions for 37/985, 5041/6880 is 186517/5.