Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 887/982, 9482/626 quickly i.e. 4205267 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 887/982, 9482/626 is 4205267.
LCM(887/982, 9482/626) = 4205267
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 887/982,9482/626
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 887,9482
Least Common Multiple of Numerators i.e. LCM of 887,9482 is 8410534.
GCF of Denominators means GCF of 982,626 as per the given fractions.
GCF of 982,626 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 887,9482
Given numbers has no common factors except 1. So, there LCM is their product i.e 8410534
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 887,9482 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(887,9482) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(887,9482) x common factors =1 x 1 = 1
LCM(887,9482) = ( 887 × 9482 ) / 1
LCM(887,9482) = 8410534 / 1
LCM(887,9482) = 8410534
Lets's calculate GCF of 982,626
2 | 982, 626 |
491, 313 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8410534/2
Therefore the LCM of Fractions 887/982,9482/626 is 4205267
Factors of 982
List of positive integer factors of 982 that divides 982 without a remainder.
1,2,491,982
Factors of 626
List of positive integer factors of 626 that divides 626 without a remainder.
1,2,313,626
Greatest Common Factor
We found the factors 982,626 . The biggest common factor number is the GCF number.
So the greatest common factor 982,626 is 2.
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 887/982, 9482/626?
Answer: LCM of Numerators as per given numbers 887/982, 9482/626 is
LCM of Numerators i.e. for 887,9482 is 8410534
GCF of denominators i.e. for 982,626 is 2.
Thus, LCM of Fractions is 4205267.Finally, LCM of Fractions for 887/982, 9482/626 is 4205267.