Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 974/723, 4397/582 quickly i.e. 4282678/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 974/723, 4397/582 is 4282678/3.
LCM(974/723, 4397/582) = 4282678/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 974/723,4397/582
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 974,4397
Least Common Multiple of Numerators i.e. LCM of 974,4397 is 4282678.
GCF of Denominators means GCF of 723,582 as per the given fractions.
GCF of 723,582 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 974,4397
Given numbers has no common factors except 1. So, there LCM is their product i.e 4282678
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 974,4397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(974,4397) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(974,4397) x common factors =1 x 1 = 1
LCM(974,4397) = ( 974 × 4397 ) / 1
LCM(974,4397) = 4282678 / 1
LCM(974,4397) = 4282678
Lets's calculate GCF of 723,582
3 | 723, 582 |
241, 194 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4282678/3
Therefore the LCM of Fractions 974/723,4397/582 is 4282678/3
Factors of 723
List of positive integer factors of 723 that divides 723 without a remainder.
1,3,241,723
Factors of 582
List of positive integer factors of 582 that divides 582 without a remainder.
1,2,3,6,97,194,291,582
Greatest Common Factor
We found the factors 723,582 . The biggest common factor number is the GCF number.
So the greatest common factor 723,582 is 3.
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 974/723, 4397/582?
Answer: LCM of Numerators as per given numbers 974/723, 4397/582 is
LCM of Numerators i.e. for 974,4397 is 4282678
GCF of denominators i.e. for 723,582 is 3.
Thus, LCM of Fractions is 4282678/3.Finally, LCM of Fractions for 974/723, 4397/582 is 4282678/3.