Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 717/916, 244/519, 907/698 quickly i.e. 158677836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 717/916, 244/519, 907/698 is 158677836.
LCM(717/916, 244/519, 907/698) = 158677836
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 717/916,244/519,907/698
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 717,244,907
Least Common Multiple of Numerators i.e. LCM of 717,244,907 is 158677836.
GCF of Denominators means GCF of 916,519,698 as per the given fractions.
GCF of 916,519,698 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 717,244,907
Given numbers has no common factors except 1. So, there LCM is their product i.e 158677836
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 717,244,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(717,244,907) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(717,244,907) x common factors =1 x 1 = 1
LCM(717,244,907) = ( 717 × 244 × 907 ) / 1
LCM(717,244,907) = 158677836 / 1
LCM(717,244,907) = 158677836
Lets's calculate GCF of 916,519,698
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 158677836/1
Therefore the LCM of Fractions 717/916,244/519,907/698 is 158677836
Factors of 916
List of positive integer factors of 916 that divides 916 without a remainder.
1,2,4,229,458,916
Factors of 519
List of positive integer factors of 519 that divides 519 without a remainder.
1,3,173,519
Factors of 698
List of positive integer factors of 698 that divides 698 without a remainder.
1,2,349,698
Greatest Common Factor
We found the factors 916,519,698 . The biggest common factor number is the GCF number.
So the greatest common factor 916,519,698 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 717/916, 244/519, 907/698?
Answer: LCM of Numerators as per given numbers 717/916, 244/519, 907/698 is
LCM of Numerators i.e. for 717,244,907 is 158677836
GCF of denominators i.e. for 916,519,698 is 1.
Thus, LCM of Fractions is 158677836.Finally, LCM of Fractions for 717/916, 244/519, 907/698 is 158677836.