Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/687, 8879/4213 quickly i.e. 550498 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/687, 8879/4213 is 550498.
LCM(62/687, 8879/4213) = 550498
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/687,8879/4213
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 62,8879
Least Common Multiple of Numerators i.e. LCM of 62,8879 is 550498.
GCF of Denominators means GCF of 687,4213 as per the given fractions.
GCF of 687,4213 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,8879
Given numbers has no common factors except 1. So, there LCM is their product i.e 550498
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 62,8879 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,8879) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(62,8879) x common factors =1 x 1 = 1
LCM(62,8879) = ( 62 × 8879 ) / 1
LCM(62,8879) = 550498 / 1
LCM(62,8879) = 550498
Lets's calculate GCF of 687,4213
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 550498/1
Therefore the LCM of Fractions 62/687,8879/4213 is 550498
Factors of 687
List of positive integer factors of 687 that divides 687 without a remainder.
1,3,229,687
Factors of 4213
List of positive integer factors of 4213 that divides 4213 without a remainder.
1,11,383,4213
Greatest Common Factor
We found the factors 687,4213 . The biggest common factor number is the GCF number.
So the greatest common factor 687,4213 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 62/687, 8879/4213?
Answer: LCM of Numerators as per given numbers 62/687, 8879/4213 is
LCM of Numerators i.e. for 62,8879 is 550498
GCF of denominators i.e. for 687,4213 is 1.
Thus, LCM of Fractions is 550498.Finally, LCM of Fractions for 62/687, 8879/4213 is 550498.