Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 980/111, 3296/555 quickly i.e. 807520/111 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 980/111, 3296/555 is 807520/111.
LCM(980/111, 3296/555) = 807520/111
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 980/111,3296/555
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 980,3296
Least Common Multiple of Numerators i.e. LCM of 980,3296 is 807520.
GCF of Denominators means GCF of 111,555 as per the given fractions.
GCF of 111,555 is 111 as it is the largest common factor for these numbers.
Lets's calculate LCM of 980,3296
2 | 980, 3296 |
2 | 490, 1648 |
245, 824 |
∴ So the LCM of the given numbers is 2 x 2 x 245 x 824 = 807520
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 980,3296 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(980,3296) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(980,3296) x common factors =4 x 1 = 4
LCM(980,3296) = ( 980 × 3296 ) / 4
LCM(980,3296) = 3230080 / 4
LCM(980,3296) = 807520
Lets's calculate GCF of 111,555
3 | 111, 555 |
37 | 37, 185 |
1, 5 |
∴ So the GCF of the given numbers is 3 x 37 = 111
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 807520/111
Therefore the LCM of Fractions 980/111,3296/555 is 807520/111
Factors of 111
List of positive integer factors of 111 that divides 111 without a remainder.
1,3,37,111
Factors of 555
List of positive integer factors of 555 that divides 555 without a remainder.
1,3,5,15,37,111,185,555
Greatest Common Factor
We found the factors 111,555 . The biggest common factor number is the GCF number.
So the greatest common factor 111,555 is 111.
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 980/111, 3296/555?
Answer: LCM of Numerators as per given numbers 980/111, 3296/555 is
LCM of Numerators i.e. for 980,3296 is 807520
GCF of denominators i.e. for 111,555 is 111.
Thus, LCM of Fractions is 807520/111.Finally, LCM of Fractions for 980/111, 3296/555 is 807520/111.