Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7781/572, 4384/7198 quickly i.e. 17055952 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7781/572, 4384/7198 is 17055952.
LCM(7781/572, 4384/7198) = 17055952
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7781/572,4384/7198
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 7781,4384
Least Common Multiple of Numerators i.e. LCM of 7781,4384 is 34111904.
GCF of Denominators means GCF of 572,7198 as per the given fractions.
GCF of 572,7198 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7781,4384
Given numbers has no common factors except 1. So, there LCM is their product i.e 34111904
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 7781,4384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7781,4384) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7781,4384) x common factors =1 x 1 = 1
LCM(7781,4384) = ( 7781 × 4384 ) / 1
LCM(7781,4384) = 34111904 / 1
LCM(7781,4384) = 34111904
Lets's calculate GCF of 572,7198
2 | 572, 7198 |
286, 3599 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34111904/2
Therefore the LCM of Fractions 7781/572,4384/7198 is 17055952
Factors of 572
List of positive integer factors of 572 that divides 572 without a remainder.
1,2,4,11,13,22,26,44,52,143,286,572
Factors of 7198
List of positive integer factors of 7198 that divides 7198 without a remainder.
1,2,59,61,118,122,3599,7198
Greatest Common Factor
We found the factors 572,7198 . The biggest common factor number is the GCF number.
So the greatest common factor 572,7198 is 2.
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 7781/572, 4384/7198?
Answer: LCM of Numerators as per given numbers 7781/572, 4384/7198 is
LCM of Numerators i.e. for 7781,4384 is 34111904
GCF of denominators i.e. for 572,7198 is 2.
Thus, LCM of Fractions is 17055952.Finally, LCM of Fractions for 7781/572, 4384/7198 is 17055952.