Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/827, 130/485, 989/381 quickly i.e. 1028560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/827, 130/485, 989/381 is 1028560.
LCM(80/827, 130/485, 989/381) = 1028560
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/827,130/485,989/381
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 80,130,989
Least Common Multiple of Numerators i.e. LCM of 80,130,989 is 1028560.
GCF of Denominators means GCF of 827,485,381 as per the given fractions.
GCF of 827,485,381 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,130,989
2 | 80, 130, 989 |
5 | 40, 65, 989 |
8, 13, 989 |
∴ So the LCM of the given numbers is 2 x 5 x 8 x 13 x 989 = 1028560
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 80,130,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,130,989) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(80,130,989) x common factors =1 x 10 = 10
LCM(80,130,989) = ( 80 × 130 × 989 ) / 10
LCM(80,130,989) = 10285600 / 10
LCM(80,130,989) = 1028560
Lets's calculate GCF of 827,485,381
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1028560/1
Therefore the LCM of Fractions 80/827,130/485,989/381 is 1028560
Factors of 827
List of positive integer factors of 827 that divides 827 without a remainder.
1,827
Factors of 485
List of positive integer factors of 485 that divides 485 without a remainder.
1,5,97,485
Factors of 381
List of positive integer factors of 381 that divides 381 without a remainder.
1,3,127,381
Greatest Common Factor
We found the factors 827,485,381 . The biggest common factor number is the GCF number.
So the greatest common factor 827,485,381 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 80/827, 130/485, 989/381?
Answer: LCM of Numerators as per given numbers 80/827, 130/485, 989/381 is
LCM of Numerators i.e. for 80,130,989 is 1028560
GCF of denominators i.e. for 827,485,381 is 1.
Thus, LCM of Fractions is 1028560.Finally, LCM of Fractions for 80/827, 130/485, 989/381 is 1028560.