Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8927/628, 1001/960 quickly i.e. 8935927/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8927/628, 1001/960 is 8935927/4.
LCM(8927/628, 1001/960) = 8935927/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8927/628,1001/960
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 8927,1001
Least Common Multiple of Numerators i.e. LCM of 8927,1001 is 8935927.
GCF of Denominators means GCF of 628,960 as per the given fractions.
GCF of 628,960 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8927,1001
Given numbers has no common factors except 1. So, there LCM is their product i.e 8935927
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 8927,1001 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8927,1001) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8927,1001) x common factors =1 x 1 = 1
LCM(8927,1001) = ( 8927 × 1001 ) / 1
LCM(8927,1001) = 8935927 / 1
LCM(8927,1001) = 8935927
Lets's calculate GCF of 628,960
2 | 628, 960 |
2 | 314, 480 |
157, 240 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8935927/4
Therefore the LCM of Fractions 8927/628,1001/960 is 8935927/4
Factors of 628
List of positive integer factors of 628 that divides 628 without a remainder.
1,2,4,157,314,628
Factors of 960
List of positive integer factors of 960 that divides 960 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960
Greatest Common Factor
We found the factors 628,960 . The biggest common factor number is the GCF number.
So the greatest common factor 628,960 is 4.
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 8927/628, 1001/960?
Answer: LCM of Numerators as per given numbers 8927/628, 1001/960 is
LCM of Numerators i.e. for 8927,1001 is 8935927
GCF of denominators i.e. for 628,960 is 4.
Thus, LCM of Fractions is 8935927/4.Finally, LCM of Fractions for 8927/628, 1001/960 is 8935927/4.