Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 601/940, 4155/5660 quickly i.e. 2497155/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 601/940, 4155/5660 is 2497155/20.
LCM(601/940, 4155/5660) = 2497155/20
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 601/940,4155/5660
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 601,4155
Least Common Multiple of Numerators i.e. LCM of 601,4155 is 2497155.
GCF of Denominators means GCF of 940,5660 as per the given fractions.
GCF of 940,5660 is 20 as it is the largest common factor for these numbers.
Lets's calculate LCM of 601,4155
Given numbers has no common factors except 1. So, there LCM is their product i.e 2497155
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 601,4155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(601,4155) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(601,4155) x common factors =1 x 1 = 1
LCM(601,4155) = ( 601 × 4155 ) / 1
LCM(601,4155) = 2497155 / 1
LCM(601,4155) = 2497155
Lets's calculate GCF of 940,5660
2 | 940, 5660 |
2 | 470, 2830 |
5 | 235, 1415 |
47, 283 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2497155/20
Therefore the LCM of Fractions 601/940,4155/5660 is 2497155/20
Factors of 940
List of positive integer factors of 940 that divides 940 without a remainder.
1,2,4,5,10,20,47,94,188,235,470,940
Factors of 5660
List of positive integer factors of 5660 that divides 5660 without a remainder.
1,2,4,5,10,20,283,566,1132,1415,2830,5660
Greatest Common Factor
We found the factors 940,5660 . The biggest common factor number is the GCF number.
So the greatest common factor 940,5660 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 601/940, 4155/5660?
Answer: LCM of Numerators as per given numbers 601/940, 4155/5660 is
LCM of Numerators i.e. for 601,4155 is 2497155
GCF of denominators i.e. for 940,5660 is 20.
Thus, LCM of Fractions is 2497155/20.Finally, LCM of Fractions for 601/940, 4155/5660 is 2497155/20.