Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/506, 2755/6683 quickly i.e. 170810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/506, 2755/6683 is 170810.
LCM(62/506, 2755/6683) = 170810
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/506,2755/6683
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 62,2755
Least Common Multiple of Numerators i.e. LCM of 62,2755 is 170810.
GCF of Denominators means GCF of 506,6683 as per the given fractions.
GCF of 506,6683 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,2755
Given numbers has no common factors except 1. So, there LCM is their product i.e 170810
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 62,2755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,2755) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(62,2755) x common factors =1 x 1 = 1
LCM(62,2755) = ( 62 × 2755 ) / 1
LCM(62,2755) = 170810 / 1
LCM(62,2755) = 170810
Lets's calculate GCF of 506,6683
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 170810/1
Therefore the LCM of Fractions 62/506,2755/6683 is 170810
Factors of 506
List of positive integer factors of 506 that divides 506 without a remainder.
1,2,11,22,23,46,253,506
Factors of 6683
List of positive integer factors of 6683 that divides 6683 without a remainder.
1,41,163,6683
Greatest Common Factor
We found the factors 506,6683 . The biggest common factor number is the GCF number.
So the greatest common factor 506,6683 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 62/506, 2755/6683?
Answer: LCM of Numerators as per given numbers 62/506, 2755/6683 is
LCM of Numerators i.e. for 62,2755 is 170810
GCF of denominators i.e. for 506,6683 is 1.
Thus, LCM of Fractions is 170810.Finally, LCM of Fractions for 62/506, 2755/6683 is 170810.