Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/548, 26/124, 218/781 quickly i.e. 82186 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/548, 26/124, 218/781 is 82186.
LCM(29/548, 26/124, 218/781) = 82186
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/548,26/124,218/781
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 29,26,218
Least Common Multiple of Numerators i.e. LCM of 29,26,218 is 82186.
GCF of Denominators means GCF of 548,124,781 as per the given fractions.
GCF of 548,124,781 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,26,218
2 | 29, 26, 218 |
29, 13, 109 |
∴ So the LCM of the given numbers is 2 x 29 x 13 x 109 = 82186
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 29,26,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,26,218) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(29,26,218) x common factors =1 x 2 = 2
LCM(29,26,218) = ( 29 × 26 × 218 ) / 2
LCM(29,26,218) = 164372 / 2
LCM(29,26,218) = 82186
Lets's calculate GCF of 548,124,781
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82186/1
Therefore the LCM of Fractions 29/548,26/124,218/781 is 82186
Factors of 548
List of positive integer factors of 548 that divides 548 without a remainder.
1,2,4,137,274,548
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Factors of 781
List of positive integer factors of 781 that divides 781 without a remainder.
1,11,71,781
Greatest Common Factor
We found the factors 548,124,781 . The biggest common factor number is the GCF number.
So the greatest common factor 548,124,781 is 1.
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 29/548, 26/124, 218/781?
Answer: LCM of Numerators as per given numbers 29/548, 26/124, 218/781 is
LCM of Numerators i.e. for 29,26,218 is 82186
GCF of denominators i.e. for 548,124,781 is 1.
Thus, LCM of Fractions is 82186.Finally, LCM of Fractions for 29/548, 26/124, 218/781 is 82186.