Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3195/515, 3708/7402 quickly i.e. 1316340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3195/515, 3708/7402 is 1316340.
LCM(3195/515, 3708/7402) = 1316340
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3195/515,3708/7402
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 3195,3708
Least Common Multiple of Numerators i.e. LCM of 3195,3708 is 1316340.
GCF of Denominators means GCF of 515,7402 as per the given fractions.
GCF of 515,7402 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3195,3708
3 | 3195, 3708 |
3 | 1065, 1236 |
355, 412 |
∴ So the LCM of the given numbers is 3 x 3 x 355 x 412 = 1316340
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 3195,3708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3195,3708) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(3195,3708) x common factors =9 x 1 = 9
LCM(3195,3708) = ( 3195 × 3708 ) / 9
LCM(3195,3708) = 11847060 / 9
LCM(3195,3708) = 1316340
Lets's calculate GCF of 515,7402
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1316340/1
Therefore the LCM of Fractions 3195/515,3708/7402 is 1316340
Factors of 515
List of positive integer factors of 515 that divides 515 without a remainder.
1,5,103,515
Factors of 7402
List of positive integer factors of 7402 that divides 7402 without a remainder.
1,2,3701,7402
Greatest Common Factor
We found the factors 515,7402 . The biggest common factor number is the GCF number.
So the greatest common factor 515,7402 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 3195/515, 3708/7402?
Answer: LCM of Numerators as per given numbers 3195/515, 3708/7402 is
LCM of Numerators i.e. for 3195,3708 is 1316340
GCF of denominators i.e. for 515,7402 is 1.
Thus, LCM of Fractions is 1316340.Finally, LCM of Fractions for 3195/515, 3708/7402 is 1316340.