Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 37/526, 6166/8791 quickly i.e. 228142 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 37/526, 6166/8791 is 228142.
LCM(37/526, 6166/8791) = 228142
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 37/526,6166/8791
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 37,6166
Least Common Multiple of Numerators i.e. LCM of 37,6166 is 228142.
GCF of Denominators means GCF of 526,8791 as per the given fractions.
GCF of 526,8791 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 37,6166
Given numbers has no common factors except 1. So, there LCM is their product i.e 228142
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 37,6166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,6166) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,6166) x common factors =1 x 1 = 1
LCM(37,6166) = ( 37 × 6166 ) / 1
LCM(37,6166) = 228142 / 1
LCM(37,6166) = 228142
Lets's calculate GCF of 526,8791
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 228142/1
Therefore the LCM of Fractions 37/526,6166/8791 is 228142
Factors of 526
List of positive integer factors of 526 that divides 526 without a remainder.
1,2,263,526
Factors of 8791
List of positive integer factors of 8791 that divides 8791 without a remainder.
1,59,149,8791
Greatest Common Factor
We found the factors 526,8791 . The biggest common factor number is the GCF number.
So the greatest common factor 526,8791 is 1.
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 37/526, 6166/8791?
Answer: LCM of Numerators as per given numbers 37/526, 6166/8791 is
LCM of Numerators i.e. for 37,6166 is 228142
GCF of denominators i.e. for 526,8791 is 1.
Thus, LCM of Fractions is 228142.Finally, LCM of Fractions for 37/526, 6166/8791 is 228142.