Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 15/105, 6446/4221 quickly i.e. 96690/21 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 15/105, 6446/4221 is 96690/21.
LCM(15/105, 6446/4221) = 96690/21
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 15/105,6446/4221
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 15,6446
Least Common Multiple of Numerators i.e. LCM of 15,6446 is 96690.
GCF of Denominators means GCF of 105,4221 as per the given fractions.
GCF of 105,4221 is 21 as it is the largest common factor for these numbers.
Lets's calculate LCM of 15,6446
Given numbers has no common factors except 1. So, there LCM is their product i.e 96690
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 15,6446 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,6446) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,6446) x common factors =1 x 1 = 1
LCM(15,6446) = ( 15 × 6446 ) / 1
LCM(15,6446) = 96690 / 1
LCM(15,6446) = 96690
Lets's calculate GCF of 105,4221
3 | 105, 4221 |
7 | 35, 1407 |
5, 201 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96690/21
Therefore the LCM of Fractions 15/105,6446/4221 is 96690/21
Factors of 105
List of positive integer factors of 105 that divides 105 without a remainder.
1,3,5,7,15,21,35,105
Factors of 4221
List of positive integer factors of 4221 that divides 4221 without a remainder.
1,3,7,9,21,63,67,201,469,603,1407,4221
Greatest Common Factor
We found the factors 105,4221 . The biggest common factor number is the GCF number.
So the greatest common factor 105,4221 is 21.
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 15/105, 6446/4221?
Answer: LCM of Numerators as per given numbers 15/105, 6446/4221 is
LCM of Numerators i.e. for 15,6446 is 96690
GCF of denominators i.e. for 105,4221 is 21.
Thus, LCM of Fractions is 96690/21.Finally, LCM of Fractions for 15/105, 6446/4221 is 96690/21.