Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 598/437, 8807/5954 quickly i.e. 5266586 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 598/437, 8807/5954 is 5266586.
LCM(598/437, 8807/5954) = 5266586
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 598/437,8807/5954
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 598,8807
Least Common Multiple of Numerators i.e. LCM of 598,8807 is 5266586.
GCF of Denominators means GCF of 437,5954 as per the given fractions.
GCF of 437,5954 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 598,8807
Given numbers has no common factors except 1. So, there LCM is their product i.e 5266586
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 598,8807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(598,8807) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(598,8807) x common factors =1 x 1 = 1
LCM(598,8807) = ( 598 × 8807 ) / 1
LCM(598,8807) = 5266586 / 1
LCM(598,8807) = 5266586
Lets's calculate GCF of 437,5954
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5266586/1
Therefore the LCM of Fractions 598/437,8807/5954 is 5266586
Factors of 437
List of positive integer factors of 437 that divides 437 without a remainder.
1,19,23,437
Factors of 5954
List of positive integer factors of 5954 that divides 5954 without a remainder.
1,2,13,26,229,458,2977,5954
Greatest Common Factor
We found the factors 437,5954 . The biggest common factor number is the GCF number.
So the greatest common factor 437,5954 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 598/437, 8807/5954?
Answer: LCM of Numerators as per given numbers 598/437, 8807/5954 is
LCM of Numerators i.e. for 598,8807 is 5266586
GCF of denominators i.e. for 437,5954 is 1.
Thus, LCM of Fractions is 5266586.Finally, LCM of Fractions for 598/437, 8807/5954 is 5266586.