Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1990/334, 5127/8510 quickly i.e. 5101365 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1990/334, 5127/8510 is 5101365.
LCM(1990/334, 5127/8510) = 5101365
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1990/334,5127/8510
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 1990,5127
Least Common Multiple of Numerators i.e. LCM of 1990,5127 is 10202730.
GCF of Denominators means GCF of 334,8510 as per the given fractions.
GCF of 334,8510 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1990,5127
Given numbers has no common factors except 1. So, there LCM is their product i.e 10202730
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 1990,5127 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1990,5127) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1990,5127) x common factors =1 x 1 = 1
LCM(1990,5127) = ( 1990 × 5127 ) / 1
LCM(1990,5127) = 10202730 / 1
LCM(1990,5127) = 10202730
Lets's calculate GCF of 334,8510
2 | 334, 8510 |
167, 4255 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10202730/2
Therefore the LCM of Fractions 1990/334,5127/8510 is 5101365
Factors of 334
List of positive integer factors of 334 that divides 334 without a remainder.
1,2,167,334
Factors of 8510
List of positive integer factors of 8510 that divides 8510 without a remainder.
1,2,5,10,23,37,46,74,115,185,230,370,851,1702,4255,8510
Greatest Common Factor
We found the factors 334,8510 . The biggest common factor number is the GCF number.
So the greatest common factor 334,8510 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 1990/334, 5127/8510?
Answer: LCM of Numerators as per given numbers 1990/334, 5127/8510 is
LCM of Numerators i.e. for 1990,5127 is 10202730
GCF of denominators i.e. for 334,8510 is 2.
Thus, LCM of Fractions is 5101365.Finally, LCM of Fractions for 1990/334, 5127/8510 is 5101365.