Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 821/15, 667/5610 quickly i.e. 547607/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 821/15, 667/5610 is 547607/15.
LCM(821/15, 667/5610) = 547607/15
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 821/15,667/5610
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 821,667
Least Common Multiple of Numerators i.e. LCM of 821,667 is 547607.
GCF of Denominators means GCF of 15,5610 as per the given fractions.
GCF of 15,5610 is 15 as it is the largest common factor for these numbers.
Lets's calculate LCM of 821,667
Given numbers has no common factors except 1. So, there LCM is their product i.e 547607
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 821,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,667) x common factors =1 x 1 = 1
LCM(821,667) = ( 821 × 667 ) / 1
LCM(821,667) = 547607 / 1
LCM(821,667) = 547607
Lets's calculate GCF of 15,5610
3 | 15, 5610 |
5 | 5, 1870 |
1, 374 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 547607/15
Therefore the LCM of Fractions 821/15,667/5610 is 547607/15
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 5610
List of positive integer factors of 5610 that divides 5610 without a remainder.
1,2,3,5,6,10,11,15,17,22,30,33,34,51,55,66,85,102,110,165,170,187,255,330,374,510,561,935,1122,1870,2805,5610
Greatest Common Factor
We found the factors 15,5610 . The biggest common factor number is the GCF number.
So the greatest common factor 15,5610 is 15.
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 821/15, 667/5610?
Answer: LCM of Numerators as per given numbers 821/15, 667/5610 is
LCM of Numerators i.e. for 821,667 is 547607
GCF of denominators i.e. for 15,5610 is 15.
Thus, LCM of Fractions is 547607/15.Finally, LCM of Fractions for 821/15, 667/5610 is 547607/15.