Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/248, 9975/1979 quickly i.e. 788025 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/248, 9975/1979 is 788025.
LCM(79/248, 9975/1979) = 788025
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/248,9975/1979
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 79,9975
Least Common Multiple of Numerators i.e. LCM of 79,9975 is 788025.
GCF of Denominators means GCF of 248,1979 as per the given fractions.
GCF of 248,1979 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,9975
Given numbers has no common factors except 1. So, there LCM is their product i.e 788025
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 79,9975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,9975) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,9975) x common factors =1 x 1 = 1
LCM(79,9975) = ( 79 × 9975 ) / 1
LCM(79,9975) = 788025 / 1
LCM(79,9975) = 788025
Lets's calculate GCF of 248,1979
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 788025/1
Therefore the LCM of Fractions 79/248,9975/1979 is 788025
Factors of 248
List of positive integer factors of 248 that divides 248 without a remainder.
1,2,4,8,31,62,124,248
Factors of 1979
List of positive integer factors of 1979 that divides 1979 without a remainder.
1,1979
Greatest Common Factor
We found the factors 248,1979 . The biggest common factor number is the GCF number.
So the greatest common factor 248,1979 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 79/248, 9975/1979?
Answer: LCM of Numerators as per given numbers 79/248, 9975/1979 is
LCM of Numerators i.e. for 79,9975 is 788025
GCF of denominators i.e. for 248,1979 is 1.
Thus, LCM of Fractions is 788025.Finally, LCM of Fractions for 79/248, 9975/1979 is 788025.