Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/240, 8975/8372 quickly i.e. 35900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/240, 8975/8372 is 35900.
LCM(80/240, 8975/8372) = 35900
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/240,8975/8372
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 80,8975
Least Common Multiple of Numerators i.e. LCM of 80,8975 is 143600.
GCF of Denominators means GCF of 240,8372 as per the given fractions.
GCF of 240,8372 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,8975
5 | 80, 8975 |
16, 1795 |
∴ So the LCM of the given numbers is 5 x 16 x 1795 = 143600
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 80,8975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,8975) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(80,8975) x common factors =5 x 1 = 5
LCM(80,8975) = ( 80 × 8975 ) / 5
LCM(80,8975) = 718000 / 5
LCM(80,8975) = 143600
Lets's calculate GCF of 240,8372
2 | 240, 8372 |
2 | 120, 4186 |
60, 2093 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143600/4
Therefore the LCM of Fractions 80/240,8975/8372 is 35900
Factors of 240
List of positive integer factors of 240 that divides 240 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240
Factors of 8372
List of positive integer factors of 8372 that divides 8372 without a remainder.
1,2,4,7,13,14,23,26,28,46,52,91,92,161,182,299,322,364,598,644,1196,2093,4186,8372
Greatest Common Factor
We found the factors 240,8372 . The biggest common factor number is the GCF number.
So the greatest common factor 240,8372 is 4.
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 80/240, 8975/8372?
Answer: LCM of Numerators as per given numbers 80/240, 8975/8372 is
LCM of Numerators i.e. for 80,8975 is 143600
GCF of denominators i.e. for 240,8372 is 4.
Thus, LCM of Fractions is 35900.Finally, LCM of Fractions for 80/240, 8975/8372 is 35900.