Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 15/694, 7902/4950 quickly i.e. 19755 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 15/694, 7902/4950 is 19755.
LCM(15/694, 7902/4950) = 19755
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 15/694,7902/4950
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 15,7902
Least Common Multiple of Numerators i.e. LCM of 15,7902 is 39510.
GCF of Denominators means GCF of 694,4950 as per the given fractions.
GCF of 694,4950 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 15,7902
3 | 15, 7902 |
5, 2634 |
∴ So the LCM of the given numbers is 3 x 5 x 2634 = 39510
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 15,7902 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,7902) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(15,7902) x common factors =3 x 1 = 3
LCM(15,7902) = ( 15 × 7902 ) / 3
LCM(15,7902) = 118530 / 3
LCM(15,7902) = 39510
Lets's calculate GCF of 694,4950
2 | 694, 4950 |
347, 2475 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39510/2
Therefore the LCM of Fractions 15/694,7902/4950 is 19755
Factors of 694
List of positive integer factors of 694 that divides 694 without a remainder.
1,2,347,694
Factors of 4950
List of positive integer factors of 4950 that divides 4950 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,25,30,33,45,50,55,66,75,90,99,110,150,165,198,225,275,330,450,495,550,825,990,1650,2475,4950
Greatest Common Factor
We found the factors 694,4950 . The biggest common factor number is the GCF number.
So the greatest common factor 694,4950 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 15/694, 7902/4950?
Answer: LCM of Numerators as per given numbers 15/694, 7902/4950 is
LCM of Numerators i.e. for 15,7902 is 39510
GCF of denominators i.e. for 694,4950 is 2.
Thus, LCM of Fractions is 19755.Finally, LCM of Fractions for 15/694, 7902/4950 is 19755.