Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7/990, 80/179, 47/822 quickly i.e. 26320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7/990, 80/179, 47/822 is 26320.
LCM(7/990, 80/179, 47/822) = 26320
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7/990,80/179,47/822
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 7,80,47
Least Common Multiple of Numerators i.e. LCM of 7,80,47 is 26320.
GCF of Denominators means GCF of 990,179,822 as per the given fractions.
GCF of 990,179,822 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7,80,47
Given numbers has no common factors except 1. So, there LCM is their product i.e 26320
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 7,80,47 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7,80,47) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7,80,47) x common factors =1 x 1 = 1
LCM(7,80,47) = ( 7 × 80 × 47 ) / 1
LCM(7,80,47) = 26320 / 1
LCM(7,80,47) = 26320
Lets's calculate GCF of 990,179,822
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26320/1
Therefore the LCM of Fractions 7/990,80/179,47/822 is 26320
Factors of 990
List of positive integer factors of 990 that divides 990 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Factors of 179
List of positive integer factors of 179 that divides 179 without a remainder.
1,179
Factors of 822
List of positive integer factors of 822 that divides 822 without a remainder.
1,2,3,6,137,274,411,822
Greatest Common Factor
We found the factors 990,179,822 . The biggest common factor number is the GCF number.
So the greatest common factor 990,179,822 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 7/990, 80/179, 47/822?
Answer: LCM of Numerators as per given numbers 7/990, 80/179, 47/822 is
LCM of Numerators i.e. for 7,80,47 is 26320
GCF of denominators i.e. for 990,179,822 is 1.
Thus, LCM of Fractions is 26320.Finally, LCM of Fractions for 7/990, 80/179, 47/822 is 26320.