Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 556/980, 5819/1328 quickly i.e. 808841 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 556/980, 5819/1328 is 808841.
LCM(556/980, 5819/1328) = 808841
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 556/980,5819/1328
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 556,5819
Least Common Multiple of Numerators i.e. LCM of 556,5819 is 3235364.
GCF of Denominators means GCF of 980,1328 as per the given fractions.
GCF of 980,1328 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 556,5819
Given numbers has no common factors except 1. So, there LCM is their product i.e 3235364
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 556,5819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(556,5819) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(556,5819) x common factors =1 x 1 = 1
LCM(556,5819) = ( 556 × 5819 ) / 1
LCM(556,5819) = 3235364 / 1
LCM(556,5819) = 3235364
Lets's calculate GCF of 980,1328
2 | 980, 1328 |
2 | 490, 664 |
245, 332 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3235364/4
Therefore the LCM of Fractions 556/980,5819/1328 is 808841
Factors of 980
List of positive integer factors of 980 that divides 980 without a remainder.
1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980
Factors of 1328
List of positive integer factors of 1328 that divides 1328 without a remainder.
1,2,4,8,16,83,166,332,664,1328
Greatest Common Factor
We found the factors 980,1328 . The biggest common factor number is the GCF number.
So the greatest common factor 980,1328 is 4.
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 556/980, 5819/1328?
Answer: LCM of Numerators as per given numbers 556/980, 5819/1328 is
LCM of Numerators i.e. for 556,5819 is 3235364
GCF of denominators i.e. for 980,1328 is 4.
Thus, LCM of Fractions is 808841.Finally, LCM of Fractions for 556/980, 5819/1328 is 808841.