Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5466/350, 4397/2617 quickly i.e. 24034002 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5466/350, 4397/2617 is 24034002.
LCM(5466/350, 4397/2617) = 24034002
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5466/350,4397/2617
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 5466,4397
Least Common Multiple of Numerators i.e. LCM of 5466,4397 is 24034002.
GCF of Denominators means GCF of 350,2617 as per the given fractions.
GCF of 350,2617 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5466,4397
Given numbers has no common factors except 1. So, there LCM is their product i.e 24034002
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 5466,4397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5466,4397) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5466,4397) x common factors =1 x 1 = 1
LCM(5466,4397) = ( 5466 × 4397 ) / 1
LCM(5466,4397) = 24034002 / 1
LCM(5466,4397) = 24034002
Lets's calculate GCF of 350,2617
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24034002/1
Therefore the LCM of Fractions 5466/350,4397/2617 is 24034002
Factors of 350
List of positive integer factors of 350 that divides 350 without a remainder.
1,2,5,7,10,14,25,35,50,70,175,350
Factors of 2617
List of positive integer factors of 2617 that divides 2617 without a remainder.
1,2617
Greatest Common Factor
We found the factors 350,2617 . The biggest common factor number is the GCF number.
So the greatest common factor 350,2617 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 5466/350, 4397/2617?
Answer: LCM of Numerators as per given numbers 5466/350, 4397/2617 is
LCM of Numerators i.e. for 5466,4397 is 24034002
GCF of denominators i.e. for 350,2617 is 1.
Thus, LCM of Fractions is 24034002.Finally, LCM of Fractions for 5466/350, 4397/2617 is 24034002.