Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 619/917, 5832/795 quickly i.e. 3610008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 619/917, 5832/795 is 3610008.
LCM(619/917, 5832/795) = 3610008
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 619/917,5832/795
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 619,5832
Least Common Multiple of Numerators i.e. LCM of 619,5832 is 3610008.
GCF of Denominators means GCF of 917,795 as per the given fractions.
GCF of 917,795 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 619,5832
Given numbers has no common factors except 1. So, there LCM is their product i.e 3610008
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 619,5832 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(619,5832) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(619,5832) x common factors =1 x 1 = 1
LCM(619,5832) = ( 619 × 5832 ) / 1
LCM(619,5832) = 3610008 / 1
LCM(619,5832) = 3610008
Lets's calculate GCF of 917,795
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3610008/1
Therefore the LCM of Fractions 619/917,5832/795 is 3610008
Factors of 917
List of positive integer factors of 917 that divides 917 without a remainder.
1,7,131,917
Factors of 795
List of positive integer factors of 795 that divides 795 without a remainder.
1,3,5,15,53,159,265,795
Greatest Common Factor
We found the factors 917,795 . The biggest common factor number is the GCF number.
So the greatest common factor 917,795 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 619/917, 5832/795?
Answer: LCM of Numerators as per given numbers 619/917, 5832/795 is
LCM of Numerators i.e. for 619,5832 is 3610008
GCF of denominators i.e. for 917,795 is 1.
Thus, LCM of Fractions is 3610008.Finally, LCM of Fractions for 619/917, 5832/795 is 3610008.