Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 591/91, 608/2807 quickly i.e. 359328/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 591/91, 608/2807 is 359328/7.
LCM(591/91, 608/2807) = 359328/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 591/91,608/2807
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 591,608
Least Common Multiple of Numerators i.e. LCM of 591,608 is 359328.
GCF of Denominators means GCF of 91,2807 as per the given fractions.
GCF of 91,2807 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 591,608
Given numbers has no common factors except 1. So, there LCM is their product i.e 359328
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 591,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(591,608) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(591,608) x common factors =1 x 1 = 1
LCM(591,608) = ( 591 × 608 ) / 1
LCM(591,608) = 359328 / 1
LCM(591,608) = 359328
Lets's calculate GCF of 91,2807
7 | 91, 2807 |
13, 401 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 359328/7
Therefore the LCM of Fractions 591/91,608/2807 is 359328/7
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 2807
List of positive integer factors of 2807 that divides 2807 without a remainder.
1,7,401,2807
Greatest Common Factor
We found the factors 91,2807 . The biggest common factor number is the GCF number.
So the greatest common factor 91,2807 is 7.
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 591/91, 608/2807?
Answer: LCM of Numerators as per given numbers 591/91, 608/2807 is
LCM of Numerators i.e. for 591,608 is 359328
GCF of denominators i.e. for 91,2807 is 7.
Thus, LCM of Fractions is 359328/7.Finally, LCM of Fractions for 591/91, 608/2807 is 359328/7.