Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2624/26, 4134/882 quickly i.e. 2711904 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2624/26, 4134/882 is 2711904.
LCM(2624/26, 4134/882) = 2711904
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2624/26,4134/882
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 2624,4134
Least Common Multiple of Numerators i.e. LCM of 2624,4134 is 5423808.
GCF of Denominators means GCF of 26,882 as per the given fractions.
GCF of 26,882 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2624,4134
2 | 2624, 4134 |
1312, 2067 |
∴ So the LCM of the given numbers is 2 x 1312 x 2067 = 5423808
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 2624,4134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2624,4134) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(2624,4134) x common factors =2 x 1 = 2
LCM(2624,4134) = ( 2624 × 4134 ) / 2
LCM(2624,4134) = 10847616 / 2
LCM(2624,4134) = 5423808
Lets's calculate GCF of 26,882
2 | 26, 882 |
13, 441 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5423808/2
Therefore the LCM of Fractions 2624/26,4134/882 is 2711904
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 882
List of positive integer factors of 882 that divides 882 without a remainder.
1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882
Greatest Common Factor
We found the factors 26,882 . The biggest common factor number is the GCF number.
So the greatest common factor 26,882 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 2624/26, 4134/882?
Answer: LCM of Numerators as per given numbers 2624/26, 4134/882 is
LCM of Numerators i.e. for 2624,4134 is 5423808
GCF of denominators i.e. for 26,882 is 2.
Thus, LCM of Fractions is 2711904.Finally, LCM of Fractions for 2624/26, 4134/882 is 2711904.