Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 919/760, 1663/8941 quickly i.e. 1528297 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 919/760, 1663/8941 is 1528297.
LCM(919/760, 1663/8941) = 1528297
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 919/760,1663/8941
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 919,1663
Least Common Multiple of Numerators i.e. LCM of 919,1663 is 1528297.
GCF of Denominators means GCF of 760,8941 as per the given fractions.
GCF of 760,8941 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 919,1663
Given numbers has no common factors except 1. So, there LCM is their product i.e 1528297
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 919,1663 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(919,1663) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(919,1663) x common factors =1 x 1 = 1
LCM(919,1663) = ( 919 × 1663 ) / 1
LCM(919,1663) = 1528297 / 1
LCM(919,1663) = 1528297
Lets's calculate GCF of 760,8941
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1528297/1
Therefore the LCM of Fractions 919/760,1663/8941 is 1528297
Factors of 760
List of positive integer factors of 760 that divides 760 without a remainder.
1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
Factors of 8941
List of positive integer factors of 8941 that divides 8941 without a remainder.
1,8941
Greatest Common Factor
We found the factors 760,8941 . The biggest common factor number is the GCF number.
So the greatest common factor 760,8941 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 919/760, 1663/8941?
Answer: LCM of Numerators as per given numbers 919/760, 1663/8941 is
LCM of Numerators i.e. for 919,1663 is 1528297
GCF of denominators i.e. for 760,8941 is 1.
Thus, LCM of Fractions is 1528297.Finally, LCM of Fractions for 919/760, 1663/8941 is 1528297.