Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5226/299, 2898/676 quickly i.e. 194166 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5226/299, 2898/676 is 194166.
LCM(5226/299, 2898/676) = 194166
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5226/299,2898/676
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 5226,2898
Least Common Multiple of Numerators i.e. LCM of 5226,2898 is 2524158.
GCF of Denominators means GCF of 299,676 as per the given fractions.
GCF of 299,676 is 13 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5226,2898
2 | 5226, 2898 |
3 | 2613, 1449 |
871, 483 |
∴ So the LCM of the given numbers is 2 x 3 x 871 x 483 = 2524158
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 5226,2898 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5226,2898) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(5226,2898) x common factors =6 x 1 = 6
LCM(5226,2898) = ( 5226 × 2898 ) / 6
LCM(5226,2898) = 15144948 / 6
LCM(5226,2898) = 2524158
Lets's calculate GCF of 299,676
13 | 299, 676 |
23, 52 |
∴ So the GCF of the given numbers is 13 = 13
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2524158/13
Therefore the LCM of Fractions 5226/299,2898/676 is 194166
Factors of 299
List of positive integer factors of 299 that divides 299 without a remainder.
1,13,23,299
Factors of 676
List of positive integer factors of 676 that divides 676 without a remainder.
1,2,4,13,26,52,169,338,676
Greatest Common Factor
We found the factors 299,676 . The biggest common factor number is the GCF number.
So the greatest common factor 299,676 is 13.
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 5226/299, 2898/676?
Answer: LCM of Numerators as per given numbers 5226/299, 2898/676 is
LCM of Numerators i.e. for 5226,2898 is 2524158
GCF of denominators i.e. for 299,676 is 13.
Thus, LCM of Fractions is 194166.Finally, LCM of Fractions for 5226/299, 2898/676 is 194166.