Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3514/62, 7163/580 quickly i.e. 12585391 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3514/62, 7163/580 is 12585391.
LCM(3514/62, 7163/580) = 12585391
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3514/62,7163/580
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 3514,7163
Least Common Multiple of Numerators i.e. LCM of 3514,7163 is 25170782.
GCF of Denominators means GCF of 62,580 as per the given fractions.
GCF of 62,580 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3514,7163
Given numbers has no common factors except 1. So, there LCM is their product i.e 25170782
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 3514,7163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3514,7163) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3514,7163) x common factors =1 x 1 = 1
LCM(3514,7163) = ( 3514 × 7163 ) / 1
LCM(3514,7163) = 25170782 / 1
LCM(3514,7163) = 25170782
Lets's calculate GCF of 62,580
2 | 62, 580 |
31, 290 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25170782/2
Therefore the LCM of Fractions 3514/62,7163/580 is 12585391
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 580
List of positive integer factors of 580 that divides 580 without a remainder.
1,2,4,5,10,20,29,58,116,145,290,580
Greatest Common Factor
We found the factors 62,580 . The biggest common factor number is the GCF number.
So the greatest common factor 62,580 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 3514/62, 7163/580?
Answer: LCM of Numerators as per given numbers 3514/62, 7163/580 is
LCM of Numerators i.e. for 3514,7163 is 25170782
GCF of denominators i.e. for 62,580 is 2.
Thus, LCM of Fractions is 12585391.Finally, LCM of Fractions for 3514/62, 7163/580 is 12585391.