Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 560/941, 763/183 quickly i.e. 61040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 560/941, 763/183 is 61040.
LCM(560/941, 763/183) = 61040
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 560/941,763/183
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 560,763
Least Common Multiple of Numerators i.e. LCM of 560,763 is 61040.
GCF of Denominators means GCF of 941,183 as per the given fractions.
GCF of 941,183 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 560,763
7 | 560, 763 |
80, 109 |
∴ So the LCM of the given numbers is 7 x 80 x 109 = 61040
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 560,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(560,763) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(560,763) x common factors =7 x 1 = 7
LCM(560,763) = ( 560 × 763 ) / 7
LCM(560,763) = 427280 / 7
LCM(560,763) = 61040
Lets's calculate GCF of 941,183
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61040/1
Therefore the LCM of Fractions 560/941,763/183 is 61040
Factors of 941
List of positive integer factors of 941 that divides 941 without a remainder.
1,941
Factors of 183
List of positive integer factors of 183 that divides 183 without a remainder.
1,3,61,183
Greatest Common Factor
We found the factors 941,183 . The biggest common factor number is the GCF number.
So the greatest common factor 941,183 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 560/941, 763/183?
Answer: LCM of Numerators as per given numbers 560/941, 763/183 is
LCM of Numerators i.e. for 560,763 is 61040
GCF of denominators i.e. for 941,183 is 1.
Thus, LCM of Fractions is 61040.Finally, LCM of Fractions for 560/941, 763/183 is 61040.