Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8783/132, 6776/5126 quickly i.e. 2705164 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8783/132, 6776/5126 is 2705164.
LCM(8783/132, 6776/5126) = 2705164
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8783/132,6776/5126
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 8783,6776
Least Common Multiple of Numerators i.e. LCM of 8783,6776 is 59513608.
GCF of Denominators means GCF of 132,5126 as per the given fractions.
GCF of 132,5126 is 22 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8783,6776
Given numbers has no common factors except 1. So, there LCM is their product i.e 59513608
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 8783,6776 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8783,6776) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8783,6776) x common factors =1 x 1 = 1
LCM(8783,6776) = ( 8783 × 6776 ) / 1
LCM(8783,6776) = 59513608 / 1
LCM(8783,6776) = 59513608
Lets's calculate GCF of 132,5126
2 | 132, 5126 |
11 | 66, 2563 |
6, 233 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59513608/22
Therefore the LCM of Fractions 8783/132,6776/5126 is 2705164
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
Factors of 5126
List of positive integer factors of 5126 that divides 5126 without a remainder.
1,2,11,22,233,466,2563,5126
Greatest Common Factor
We found the factors 132,5126 . The biggest common factor number is the GCF number.
So the greatest common factor 132,5126 is 22.
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 8783/132, 6776/5126?
Answer: LCM of Numerators as per given numbers 8783/132, 6776/5126 is
LCM of Numerators i.e. for 8783,6776 is 59513608
GCF of denominators i.e. for 132,5126 is 22.
Thus, LCM of Fractions is 2705164.Finally, LCM of Fractions for 8783/132, 6776/5126 is 2705164.