Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6948/176, 8166/5859 quickly i.e. 9456228 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6948/176, 8166/5859 is 9456228.
LCM(6948/176, 8166/5859) = 9456228
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6948/176,8166/5859
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 6948,8166
Least Common Multiple of Numerators i.e. LCM of 6948,8166 is 9456228.
GCF of Denominators means GCF of 176,5859 as per the given fractions.
GCF of 176,5859 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6948,8166
2 | 6948, 8166 |
3 | 3474, 4083 |
1158, 1361 |
∴ So the LCM of the given numbers is 2 x 3 x 1158 x 1361 = 9456228
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 6948,8166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6948,8166) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(6948,8166) x common factors =6 x 1 = 6
LCM(6948,8166) = ( 6948 × 8166 ) / 6
LCM(6948,8166) = 56737368 / 6
LCM(6948,8166) = 9456228
Lets's calculate GCF of 176,5859
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9456228/1
Therefore the LCM of Fractions 6948/176,8166/5859 is 9456228
Factors of 176
List of positive integer factors of 176 that divides 176 without a remainder.
1,2,4,8,11,16,22,44,88,176
Factors of 5859
List of positive integer factors of 5859 that divides 5859 without a remainder.
1,3,7,9,21,27,31,63,93,189,217,279,651,837,1953,5859
Greatest Common Factor
We found the factors 176,5859 . The biggest common factor number is the GCF number.
So the greatest common factor 176,5859 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 6948/176, 8166/5859?
Answer: LCM of Numerators as per given numbers 6948/176, 8166/5859 is
LCM of Numerators i.e. for 6948,8166 is 9456228
GCF of denominators i.e. for 176,5859 is 1.
Thus, LCM of Fractions is 9456228.Finally, LCM of Fractions for 6948/176, 8166/5859 is 9456228.