Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 985/22, 668/1813 quickly i.e. 657980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 985/22, 668/1813 is 657980.
LCM(985/22, 668/1813) = 657980
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 985/22,668/1813
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 985,668
Least Common Multiple of Numerators i.e. LCM of 985,668 is 657980.
GCF of Denominators means GCF of 22,1813 as per the given fractions.
GCF of 22,1813 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 985,668
Given numbers has no common factors except 1. So, there LCM is their product i.e 657980
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 985,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(985,668) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(985,668) x common factors =1 x 1 = 1
LCM(985,668) = ( 985 × 668 ) / 1
LCM(985,668) = 657980 / 1
LCM(985,668) = 657980
Lets's calculate GCF of 22,1813
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 657980/1
Therefore the LCM of Fractions 985/22,668/1813 is 657980
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 1813
List of positive integer factors of 1813 that divides 1813 without a remainder.
1,7,37,49,259,1813
Greatest Common Factor
We found the factors 22,1813 . The biggest common factor number is the GCF number.
So the greatest common factor 22,1813 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 985/22, 668/1813?
Answer: LCM of Numerators as per given numbers 985/22, 668/1813 is
LCM of Numerators i.e. for 985,668 is 657980
GCF of denominators i.e. for 22,1813 is 1.
Thus, LCM of Fractions is 657980.Finally, LCM of Fractions for 985/22, 668/1813 is 657980.