Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 770/15, 103/4195 quickly i.e. 15862 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 770/15, 103/4195 is 15862.
LCM(770/15, 103/4195) = 15862
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 770/15,103/4195
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 770,103
Least Common Multiple of Numerators i.e. LCM of 770,103 is 79310.
GCF of Denominators means GCF of 15,4195 as per the given fractions.
GCF of 15,4195 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 770,103
Given numbers has no common factors except 1. So, there LCM is their product i.e 79310
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 770,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(770,103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(770,103) x common factors =1 x 1 = 1
LCM(770,103) = ( 770 × 103 ) / 1
LCM(770,103) = 79310 / 1
LCM(770,103) = 79310
Lets's calculate GCF of 15,4195
5 | 15, 4195 |
3, 839 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79310/5
Therefore the LCM of Fractions 770/15,103/4195 is 15862
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 4195
List of positive integer factors of 4195 that divides 4195 without a remainder.
1,5,839,4195
Greatest Common Factor
We found the factors 15,4195 . The biggest common factor number is the GCF number.
So the greatest common factor 15,4195 is 5.
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 770/15, 103/4195?
Answer: LCM of Numerators as per given numbers 770/15, 103/4195 is
LCM of Numerators i.e. for 770,103 is 79310
GCF of denominators i.e. for 15,4195 is 5.
Thus, LCM of Fractions is 15862.Finally, LCM of Fractions for 770/15, 103/4195 is 15862.