Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 525/81, 379/1562 quickly i.e. 198975 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 525/81, 379/1562 is 198975.
LCM(525/81, 379/1562) = 198975
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 525/81,379/1562
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 525,379
Least Common Multiple of Numerators i.e. LCM of 525,379 is 198975.
GCF of Denominators means GCF of 81,1562 as per the given fractions.
GCF of 81,1562 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 525,379
Given numbers has no common factors except 1. So, there LCM is their product i.e 198975
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 525,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(525,379) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(525,379) x common factors =1 x 1 = 1
LCM(525,379) = ( 525 × 379 ) / 1
LCM(525,379) = 198975 / 1
LCM(525,379) = 198975
Lets's calculate GCF of 81,1562
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 198975/1
Therefore the LCM of Fractions 525/81,379/1562 is 198975
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 1562
List of positive integer factors of 1562 that divides 1562 without a remainder.
1,2,11,22,71,142,781,1562
Greatest Common Factor
We found the factors 81,1562 . The biggest common factor number is the GCF number.
So the greatest common factor 81,1562 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 525/81, 379/1562?
Answer: LCM of Numerators as per given numbers 525/81, 379/1562 is
LCM of Numerators i.e. for 525,379 is 198975
GCF of denominators i.e. for 81,1562 is 1.
Thus, LCM of Fractions is 198975.Finally, LCM of Fractions for 525/81, 379/1562 is 198975.