Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 751/75, 559/2672 quickly i.e. 419809 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 751/75, 559/2672 is 419809.
LCM(751/75, 559/2672) = 419809
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 751/75,559/2672
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 751,559
Least Common Multiple of Numerators i.e. LCM of 751,559 is 419809.
GCF of Denominators means GCF of 75,2672 as per the given fractions.
GCF of 75,2672 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 751,559
Given numbers has no common factors except 1. So, there LCM is their product i.e 419809
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 751,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(751,559) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(751,559) x common factors =1 x 1 = 1
LCM(751,559) = ( 751 × 559 ) / 1
LCM(751,559) = 419809 / 1
LCM(751,559) = 419809
Lets's calculate GCF of 75,2672
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 419809/1
Therefore the LCM of Fractions 751/75,559/2672 is 419809
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 2672
List of positive integer factors of 2672 that divides 2672 without a remainder.
1,2,4,8,16,167,334,668,1336,2672
Greatest Common Factor
We found the factors 75,2672 . The biggest common factor number is the GCF number.
So the greatest common factor 75,2672 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 751/75, 559/2672?
Answer: LCM of Numerators as per given numbers 751/75, 559/2672 is
LCM of Numerators i.e. for 751,559 is 419809
GCF of denominators i.e. for 75,2672 is 1.
Thus, LCM of Fractions is 419809.Finally, LCM of Fractions for 751/75, 559/2672 is 419809.