Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9130/276, 4176/182 quickly i.e. 9531720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9130/276, 4176/182 is 9531720.
LCM(9130/276, 4176/182) = 9531720
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9130/276,4176/182
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 9130,4176
Least Common Multiple of Numerators i.e. LCM of 9130,4176 is 19063440.
GCF of Denominators means GCF of 276,182 as per the given fractions.
GCF of 276,182 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9130,4176
2 | 9130, 4176 |
4565, 2088 |
∴ So the LCM of the given numbers is 2 x 4565 x 2088 = 19063440
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 9130,4176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9130,4176) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(9130,4176) x common factors =2 x 1 = 2
LCM(9130,4176) = ( 9130 × 4176 ) / 2
LCM(9130,4176) = 38126880 / 2
LCM(9130,4176) = 19063440
Lets's calculate GCF of 276,182
2 | 276, 182 |
138, 91 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19063440/2
Therefore the LCM of Fractions 9130/276,4176/182 is 9531720
Factors of 276
List of positive integer factors of 276 that divides 276 without a remainder.
1,2,3,4,6,12,23,46,69,92,138,276
Factors of 182
List of positive integer factors of 182 that divides 182 without a remainder.
1,2,7,13,14,26,91,182
Greatest Common Factor
We found the factors 276,182 . The biggest common factor number is the GCF number.
So the greatest common factor 276,182 is 2.
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 9130/276, 4176/182?
Answer: LCM of Numerators as per given numbers 9130/276, 4176/182 is
LCM of Numerators i.e. for 9130,4176 is 19063440
GCF of denominators i.e. for 276,182 is 2.
Thus, LCM of Fractions is 9531720.Finally, LCM of Fractions for 9130/276, 4176/182 is 9531720.