Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 990/244, 220/958, 184/737 quickly i.e. 91080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 990/244, 220/958, 184/737 is 91080.
LCM(990/244, 220/958, 184/737) = 91080
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 990/244,220/958,184/737
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 990,220,184
Least Common Multiple of Numerators i.e. LCM of 990,220,184 is 91080.
GCF of Denominators means GCF of 244,958,737 as per the given fractions.
GCF of 244,958,737 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 990,220,184
2 | 990, 220, 184 |
2 | 495, 110, 92 |
5 | 495, 55, 46 |
11 | 99, 11, 46 |
9, 1, 46 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 11 x 9 x 1 x 46 = 91080
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 990,220,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(990,220,184) = 2
common factors(in case of two or more numbers have common factors) = 220
GCF(990,220,184) x common factors =2 x 220 = 440
LCM(990,220,184) = ( 990 × 220 × 184 ) / 440
LCM(990,220,184) = 40075200 / 440
LCM(990,220,184) = 91080
Lets's calculate GCF of 244,958,737
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91080/1
Therefore the LCM of Fractions 990/244,220/958,184/737 is 91080
Factors of 244
List of positive integer factors of 244 that divides 244 without a remainder.
1,2,4,61,122,244
Factors of 958
List of positive integer factors of 958 that divides 958 without a remainder.
1,2,479,958
Factors of 737
List of positive integer factors of 737 that divides 737 without a remainder.
1,11,67,737
Greatest Common Factor
We found the factors 244,958,737 . The biggest common factor number is the GCF number.
So the greatest common factor 244,958,737 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 990/244, 220/958, 184/737?
Answer: LCM of Numerators as per given numbers 990/244, 220/958, 184/737 is
LCM of Numerators i.e. for 990,220,184 is 91080
GCF of denominators i.e. for 244,958,737 is 1.
Thus, LCM of Fractions is 91080.Finally, LCM of Fractions for 990/244, 220/958, 184/737 is 91080.