Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 979/90, 624/28, 880/589 quickly i.e. 3054480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 979/90, 624/28, 880/589 is 3054480.
LCM(979/90, 624/28, 880/589) = 3054480
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 979/90,624/28,880/589
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 979,624,880
Least Common Multiple of Numerators i.e. LCM of 979,624,880 is 3054480.
GCF of Denominators means GCF of 90,28,589 as per the given fractions.
GCF of 90,28,589 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 979,624,880
2 | 979, 624, 880 |
2 | 979, 312, 440 |
2 | 979, 156, 220 |
2 | 979, 78, 110 |
11 | 979, 39, 55 |
89, 39, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 11 x 89 x 39 x 5 = 3054480
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 979,624,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(979,624,880) = 1
common factors(in case of two or more numbers have common factors) = 176
GCF(979,624,880) x common factors =1 x 176 = 176
LCM(979,624,880) = ( 979 × 624 × 880 ) / 176
LCM(979,624,880) = 537588480 / 176
LCM(979,624,880) = 3054480
Lets's calculate GCF of 90,28,589
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3054480/1
Therefore the LCM of Fractions 979/90,624/28,880/589 is 3054480
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 589
List of positive integer factors of 589 that divides 589 without a remainder.
1,19,31,589
Greatest Common Factor
We found the factors 90,28,589 . The biggest common factor number is the GCF number.
So the greatest common factor 90,28,589 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 979/90, 624/28, 880/589?
Answer: LCM of Numerators as per given numbers 979/90, 624/28, 880/589 is
LCM of Numerators i.e. for 979,624,880 is 3054480
GCF of denominators i.e. for 90,28,589 is 1.
Thus, LCM of Fractions is 3054480.Finally, LCM of Fractions for 979/90, 624/28, 880/589 is 3054480.