Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 919/634, 6091/8010 quickly i.e. 5597629/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 919/634, 6091/8010 is 5597629/2.
LCM(919/634, 6091/8010) = 5597629/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 919/634,6091/8010
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 919,6091
Least Common Multiple of Numerators i.e. LCM of 919,6091 is 5597629.
GCF of Denominators means GCF of 634,8010 as per the given fractions.
GCF of 634,8010 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 919,6091
Given numbers has no common factors except 1. So, there LCM is their product i.e 5597629
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 919,6091 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(919,6091) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(919,6091) x common factors =1 x 1 = 1
LCM(919,6091) = ( 919 × 6091 ) / 1
LCM(919,6091) = 5597629 / 1
LCM(919,6091) = 5597629
Lets's calculate GCF of 634,8010
2 | 634, 8010 |
317, 4005 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5597629/2
Therefore the LCM of Fractions 919/634,6091/8010 is 5597629/2
Factors of 634
List of positive integer factors of 634 that divides 634 without a remainder.
1,2,317,634
Factors of 8010
List of positive integer factors of 8010 that divides 8010 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,89,90,178,267,445,534,801,890,1335,1602,2670,4005,8010
Greatest Common Factor
We found the factors 634,8010 . The biggest common factor number is the GCF number.
So the greatest common factor 634,8010 is 2.
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 919/634, 6091/8010?
Answer: LCM of Numerators as per given numbers 919/634, 6091/8010 is
LCM of Numerators i.e. for 919,6091 is 5597629
GCF of denominators i.e. for 634,8010 is 2.
Thus, LCM of Fractions is 5597629/2.Finally, LCM of Fractions for 919/634, 6091/8010 is 5597629/2.