Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/79, 56/53, 73/26, 25/981 quickly i.e. 9913400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/79, 56/53, 73/26, 25/981 is 9913400.
LCM(97/79, 56/53, 73/26, 25/981) = 9913400
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/79,56/53,73/26,25/981
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 97,56,73,25
Least Common Multiple of Numerators i.e. LCM of 97,56,73,25 is 9913400.
GCF of Denominators means GCF of 79,53,26,981 as per the given fractions.
GCF of 79,53,26,981 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,56,73,25
Given numbers has no common factors except 1. So, there LCM is their product i.e 9913400
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 97,56,73,25 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,56,73,25) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,56,73,25) x common factors =1 x 1 = 1
LCM(97,56,73,25) = ( 97 × 56 × 73 × 25 ) / 1
LCM(97,56,73,25) = 9913400 / 1
LCM(97,56,73,25) = 9913400
Lets's calculate GCF of 79,53,26,981
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9913400/1
Therefore the LCM of Fractions 97/79,56/53,73/26,25/981 is 9913400
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 981
List of positive integer factors of 981 that divides 981 without a remainder.
1,3,9,109,327,981
Greatest Common Factor
We found the factors 79,53,26,981 . The biggest common factor number is the GCF number.
So the greatest common factor 79,53,26,981 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 97/79, 56/53, 73/26, 25/981?
Answer: LCM of Numerators as per given numbers 97/79, 56/53, 73/26, 25/981 is
LCM of Numerators i.e. for 97,56,73,25 is 9913400
GCF of denominators i.e. for 79,53,26,981 is 1.
Thus, LCM of Fractions is 9913400.Finally, LCM of Fractions for 97/79, 56/53, 73/26, 25/981 is 9913400.