Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/325, 974/114, 393/977 quickly i.e. 34833162 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/325, 974/114, 393/977 is 34833162.
LCM(91/325, 974/114, 393/977) = 34833162
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/325,974/114,393/977
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 91,974,393
Least Common Multiple of Numerators i.e. LCM of 91,974,393 is 34833162.
GCF of Denominators means GCF of 325,114,977 as per the given fractions.
GCF of 325,114,977 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,974,393
Given numbers has no common factors except 1. So, there LCM is their product i.e 34833162
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 91,974,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,974,393) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,974,393) x common factors =1 x 1 = 1
LCM(91,974,393) = ( 91 × 974 × 393 ) / 1
LCM(91,974,393) = 34833162 / 1
LCM(91,974,393) = 34833162
Lets's calculate GCF of 325,114,977
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34833162/1
Therefore the LCM of Fractions 91/325,974/114,393/977 is 34833162
Factors of 325
List of positive integer factors of 325 that divides 325 without a remainder.
1,5,13,25,65,325
Factors of 114
List of positive integer factors of 114 that divides 114 without a remainder.
1,2,3,6,19,38,57,114
Factors of 977
List of positive integer factors of 977 that divides 977 without a remainder.
1,977
Greatest Common Factor
We found the factors 325,114,977 . The biggest common factor number is the GCF number.
So the greatest common factor 325,114,977 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 91/325, 974/114, 393/977?
Answer: LCM of Numerators as per given numbers 91/325, 974/114, 393/977 is
LCM of Numerators i.e. for 91,974,393 is 34833162
GCF of denominators i.e. for 325,114,977 is 1.
Thus, LCM of Fractions is 34833162.Finally, LCM of Fractions for 91/325, 974/114, 393/977 is 34833162.