Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3307/160, 4267/3562 quickly i.e. 14110969/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3307/160, 4267/3562 is 14110969/2.
LCM(3307/160, 4267/3562) = 14110969/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3307/160,4267/3562
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 3307,4267
Least Common Multiple of Numerators i.e. LCM of 3307,4267 is 14110969.
GCF of Denominators means GCF of 160,3562 as per the given fractions.
GCF of 160,3562 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3307,4267
Given numbers has no common factors except 1. So, there LCM is their product i.e 14110969
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 3307,4267 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3307,4267) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3307,4267) x common factors =1 x 1 = 1
LCM(3307,4267) = ( 3307 × 4267 ) / 1
LCM(3307,4267) = 14110969 / 1
LCM(3307,4267) = 14110969
Lets's calculate GCF of 160,3562
2 | 160, 3562 |
80, 1781 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14110969/2
Therefore the LCM of Fractions 3307/160,4267/3562 is 14110969/2
Factors of 160
List of positive integer factors of 160 that divides 160 without a remainder.
1,2,4,5,8,10,16,20,32,40,80,160
Factors of 3562
List of positive integer factors of 3562 that divides 3562 without a remainder.
1,2,13,26,137,274,1781,3562
Greatest Common Factor
We found the factors 160,3562 . The biggest common factor number is the GCF number.
So the greatest common factor 160,3562 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 3307/160, 4267/3562?
Answer: LCM of Numerators as per given numbers 3307/160, 4267/3562 is
LCM of Numerators i.e. for 3307,4267 is 14110969
GCF of denominators i.e. for 160,3562 is 2.
Thus, LCM of Fractions is 14110969/2.Finally, LCM of Fractions for 3307/160, 4267/3562 is 14110969/2.