Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/500, 1690/2043 quickly i.e. 52390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/500, 1690/2043 is 52390.
LCM(62/500, 1690/2043) = 52390
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/500,1690/2043
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 62,1690
Least Common Multiple of Numerators i.e. LCM of 62,1690 is 52390.
GCF of Denominators means GCF of 500,2043 as per the given fractions.
GCF of 500,2043 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,1690
2 | 62, 1690 |
31, 845 |
∴ So the LCM of the given numbers is 2 x 31 x 845 = 52390
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 62,1690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,1690) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(62,1690) x common factors =2 x 1 = 2
LCM(62,1690) = ( 62 × 1690 ) / 2
LCM(62,1690) = 104780 / 2
LCM(62,1690) = 52390
Lets's calculate GCF of 500,2043
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52390/1
Therefore the LCM of Fractions 62/500,1690/2043 is 52390
Factors of 500
List of positive integer factors of 500 that divides 500 without a remainder.
1,2,4,5,10,20,25,50,100,125,250,500
Factors of 2043
List of positive integer factors of 2043 that divides 2043 without a remainder.
1,3,9,227,681,2043
Greatest Common Factor
We found the factors 500,2043 . The biggest common factor number is the GCF number.
So the greatest common factor 500,2043 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 62/500, 1690/2043?
Answer: LCM of Numerators as per given numbers 62/500, 1690/2043 is
LCM of Numerators i.e. for 62,1690 is 52390
GCF of denominators i.e. for 500,2043 is 1.
Thus, LCM of Fractions is 52390.Finally, LCM of Fractions for 62/500, 1690/2043 is 52390.