Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/719, 17/179, 611/850 quickly i.e. 1028313 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/719, 17/179, 611/850 is 1028313.
LCM(99/719, 17/179, 611/850) = 1028313
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/719,17/179,611/850
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 99,17,611
Least Common Multiple of Numerators i.e. LCM of 99,17,611 is 1028313.
GCF of Denominators means GCF of 719,179,850 as per the given fractions.
GCF of 719,179,850 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,17,611
Given numbers has no common factors except 1. So, there LCM is their product i.e 1028313
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 99,17,611 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,17,611) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,17,611) x common factors =1 x 1 = 1
LCM(99,17,611) = ( 99 × 17 × 611 ) / 1
LCM(99,17,611) = 1028313 / 1
LCM(99,17,611) = 1028313
Lets's calculate GCF of 719,179,850
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1028313/1
Therefore the LCM of Fractions 99/719,17/179,611/850 is 1028313
Factors of 719
List of positive integer factors of 719 that divides 719 without a remainder.
1,719
Factors of 179
List of positive integer factors of 179 that divides 179 without a remainder.
1,179
Factors of 850
List of positive integer factors of 850 that divides 850 without a remainder.
1,2,5,10,17,25,34,50,85,170,425,850
Greatest Common Factor
We found the factors 719,179,850 . The biggest common factor number is the GCF number.
So the greatest common factor 719,179,850 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 99/719, 17/179, 611/850?
Answer: LCM of Numerators as per given numbers 99/719, 17/179, 611/850 is
LCM of Numerators i.e. for 99,17,611 is 1028313
GCF of denominators i.e. for 719,179,850 is 1.
Thus, LCM of Fractions is 1028313.Finally, LCM of Fractions for 99/719, 17/179, 611/850 is 1028313.