Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 551/26, 948/58, 791/26 quickly i.e. 206588634 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 551/26, 948/58, 791/26 is 206588634.
LCM(551/26, 948/58, 791/26) = 206588634
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 551/26,948/58,791/26
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 551,948,791
Least Common Multiple of Numerators i.e. LCM of 551,948,791 is 413177268.
GCF of Denominators means GCF of 26,58,26 as per the given fractions.
GCF of 26,58,26 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 551,948,791
Given numbers has no common factors except 1. So, there LCM is their product i.e 413177268
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 551,948,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(551,948,791) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(551,948,791) x common factors =1 x 1 = 1
LCM(551,948,791) = ( 551 × 948 × 791 ) / 1
LCM(551,948,791) = 413177268 / 1
LCM(551,948,791) = 413177268
Lets's calculate GCF of 26,58,26
2 | 26, 58, 26 |
13, 29, 13 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 413177268/2
Therefore the LCM of Fractions 551/26,948/58,791/26 is 206588634
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Greatest Common Factor
We found the factors 26,58,26 . The biggest common factor number is the GCF number.
So the greatest common factor 26,58,26 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 551/26, 948/58, 791/26?
Answer: LCM of Numerators as per given numbers 551/26, 948/58, 791/26 is
LCM of Numerators i.e. for 551,948,791 is 413177268
GCF of denominators i.e. for 26,58,26 is 2.
Thus, LCM of Fractions is 206588634.Finally, LCM of Fractions for 551/26, 948/58, 791/26 is 206588634.