Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 901/40, 845/2020 quickly i.e. 761345/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 901/40, 845/2020 is 761345/20.
LCM(901/40, 845/2020) = 761345/20
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 901/40,845/2020
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 901,845
Least Common Multiple of Numerators i.e. LCM of 901,845 is 761345.
GCF of Denominators means GCF of 40,2020 as per the given fractions.
GCF of 40,2020 is 20 as it is the largest common factor for these numbers.
Lets's calculate LCM of 901,845
Given numbers has no common factors except 1. So, there LCM is their product i.e 761345
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 901,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(901,845) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(901,845) x common factors =1 x 1 = 1
LCM(901,845) = ( 901 × 845 ) / 1
LCM(901,845) = 761345 / 1
LCM(901,845) = 761345
Lets's calculate GCF of 40,2020
2 | 40, 2020 |
2 | 20, 1010 |
5 | 10, 505 |
2, 101 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 761345/20
Therefore the LCM of Fractions 901/40,845/2020 is 761345/20
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 2020
List of positive integer factors of 2020 that divides 2020 without a remainder.
1,2,4,5,10,20,101,202,404,505,1010,2020
Greatest Common Factor
We found the factors 40,2020 . The biggest common factor number is the GCF number.
So the greatest common factor 40,2020 is 20.
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 901/40, 845/2020?
Answer: LCM of Numerators as per given numbers 901/40, 845/2020 is
LCM of Numerators i.e. for 901,845 is 761345
GCF of denominators i.e. for 40,2020 is 20.
Thus, LCM of Fractions is 761345/20.Finally, LCM of Fractions for 901/40, 845/2020 is 761345/20.