Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5434/75, 1525/425 quickly i.e. 331474 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5434/75, 1525/425 is 331474.
LCM(5434/75, 1525/425) = 331474
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5434/75,1525/425
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 5434,1525
Least Common Multiple of Numerators i.e. LCM of 5434,1525 is 8286850.
GCF of Denominators means GCF of 75,425 as per the given fractions.
GCF of 75,425 is 25 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5434,1525
Given numbers has no common factors except 1. So, there LCM is their product i.e 8286850
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 5434,1525 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5434,1525) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5434,1525) x common factors =1 x 1 = 1
LCM(5434,1525) = ( 5434 × 1525 ) / 1
LCM(5434,1525) = 8286850 / 1
LCM(5434,1525) = 8286850
Lets's calculate GCF of 75,425
5 | 75, 425 |
5 | 15, 85 |
3, 17 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8286850/25
Therefore the LCM of Fractions 5434/75,1525/425 is 331474
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 425
List of positive integer factors of 425 that divides 425 without a remainder.
1,5,17,25,85,425
Greatest Common Factor
We found the factors 75,425 . The biggest common factor number is the GCF number.
So the greatest common factor 75,425 is 25.
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 5434/75, 1525/425?
Answer: LCM of Numerators as per given numbers 5434/75, 1525/425 is
LCM of Numerators i.e. for 5434,1525 is 8286850
GCF of denominators i.e. for 75,425 is 25.
Thus, LCM of Fractions is 331474.Finally, LCM of Fractions for 5434/75, 1525/425 is 331474.