Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/25, 81/13, 26/78, 61/772 quickly i.e. 6808698 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/25, 81/13, 26/78, 61/772 is 6808698.
LCM(53/25, 81/13, 26/78, 61/772) = 6808698
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/25,81/13,26/78,61/772
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 53,81,26,61
Least Common Multiple of Numerators i.e. LCM of 53,81,26,61 is 6808698.
GCF of Denominators means GCF of 25,13,78,772 as per the given fractions.
GCF of 25,13,78,772 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,81,26,61
Given numbers has no common factors except 1. So, there LCM is their product i.e 6808698
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 53,81,26,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,81,26,61) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,81,26,61) x common factors =1 x 1 = 1
LCM(53,81,26,61) = ( 53 × 81 × 26 × 61 ) / 1
LCM(53,81,26,61) = 6808698 / 1
LCM(53,81,26,61) = 6808698
Lets's calculate GCF of 25,13,78,772
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6808698/1
Therefore the LCM of Fractions 53/25,81/13,26/78,61/772 is 6808698
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 772
List of positive integer factors of 772 that divides 772 without a remainder.
1,2,4,193,386,772
Greatest Common Factor
We found the factors 25,13,78,772 . The biggest common factor number is the GCF number.
So the greatest common factor 25,13,78,772 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 53/25, 81/13, 26/78, 61/772?
Answer: LCM of Numerators as per given numbers 53/25, 81/13, 26/78, 61/772 is
LCM of Numerators i.e. for 53,81,26,61 is 6808698
GCF of denominators i.e. for 25,13,78,772 is 1.
Thus, LCM of Fractions is 6808698.Finally, LCM of Fractions for 53/25, 81/13, 26/78, 61/772 is 6808698.