Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3317/160, 8662/6370 quickly i.e. 28731854/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3317/160, 8662/6370 is 28731854/10.
LCM(3317/160, 8662/6370) = 28731854/10
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3317/160,8662/6370
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 3317,8662
Least Common Multiple of Numerators i.e. LCM of 3317,8662 is 28731854.
GCF of Denominators means GCF of 160,6370 as per the given fractions.
GCF of 160,6370 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3317,8662
Given numbers has no common factors except 1. So, there LCM is their product i.e 28731854
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 3317,8662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3317,8662) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3317,8662) x common factors =1 x 1 = 1
LCM(3317,8662) = ( 3317 × 8662 ) / 1
LCM(3317,8662) = 28731854 / 1
LCM(3317,8662) = 28731854
Lets's calculate GCF of 160,6370
2 | 160, 6370 |
5 | 80, 3185 |
16, 637 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28731854/10
Therefore the LCM of Fractions 3317/160,8662/6370 is 28731854/10
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 6370
List of positive integer factors of 6370 that divides 6370 without a remainder.
1,2,5,7,10,13,14,26,35,49,65,70,91,98,130,182,245,455,490,637,910,1274,3185,6370
Greatest Common Factor
We found the factors 160,6370 . The biggest common factor number is the GCF number.
So the greatest common factor 160,6370 is 10.
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 3317/160, 8662/6370?
Answer: LCM of Numerators as per given numbers 3317/160, 8662/6370 is
LCM of Numerators i.e. for 3317,8662 is 28731854
GCF of denominators i.e. for 160,6370 is 10.
Thus, LCM of Fractions is 28731854/10.Finally, LCM of Fractions for 3317/160, 8662/6370 is 28731854/10.