Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 14/983, 4835/8040 quickly i.e. 67690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 14/983, 4835/8040 is 67690.
LCM(14/983, 4835/8040) = 67690
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 14/983,4835/8040
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 14,4835
Least Common Multiple of Numerators i.e. LCM of 14,4835 is 67690.
GCF of Denominators means GCF of 983,8040 as per the given fractions.
GCF of 983,8040 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 14,4835
Given numbers has no common factors except 1. So, there LCM is their product i.e 67690
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 14,4835 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,4835) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(14,4835) x common factors =1 x 1 = 1
LCM(14,4835) = ( 14 × 4835 ) / 1
LCM(14,4835) = 67690 / 1
LCM(14,4835) = 67690
Lets's calculate GCF of 983,8040
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67690/1
Therefore the LCM of Fractions 14/983,4835/8040 is 67690
Factors of 983
List of positive integer factors of 983 that divides 983 without a remainder.
1,983
Factors of 8040
List of positive integer factors of 8040 that divides 8040 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,67,120,134,201,268,335,402,536,670,804,1005,1340,1608,2010,2680,4020,8040
Greatest Common Factor
We found the factors 983,8040 . The biggest common factor number is the GCF number.
So the greatest common factor 983,8040 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 14/983, 4835/8040?
Answer: LCM of Numerators as per given numbers 14/983, 4835/8040 is
LCM of Numerators i.e. for 14,4835 is 67690
GCF of denominators i.e. for 983,8040 is 1.
Thus, LCM of Fractions is 67690.Finally, LCM of Fractions for 14/983, 4835/8040 is 67690.