Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/640, 8595/6165 quickly i.e. 161586 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/640, 8595/6165 is 161586.
LCM(94/640, 8595/6165) = 161586
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/640,8595/6165
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 94,8595
Least Common Multiple of Numerators i.e. LCM of 94,8595 is 807930.
GCF of Denominators means GCF of 640,6165 as per the given fractions.
GCF of 640,6165 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,8595
Given numbers has no common factors except 1. So, there LCM is their product i.e 807930
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 94,8595 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,8595) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(94,8595) x common factors =1 x 1 = 1
LCM(94,8595) = ( 94 × 8595 ) / 1
LCM(94,8595) = 807930 / 1
LCM(94,8595) = 807930
Lets's calculate GCF of 640,6165
5 | 640, 6165 |
128, 1233 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 807930/5
Therefore the LCM of Fractions 94/640,8595/6165 is 161586
Factors of 640
List of positive integer factors of 640 that divides 640 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Factors of 6165
List of positive integer factors of 6165 that divides 6165 without a remainder.
1,3,5,9,15,45,137,411,685,1233,2055,6165
Greatest Common Factor
We found the factors 640,6165 . The biggest common factor number is the GCF number.
So the greatest common factor 640,6165 is 5.
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 94/640, 8595/6165?
Answer: LCM of Numerators as per given numbers 94/640, 8595/6165 is
LCM of Numerators i.e. for 94,8595 is 807930
GCF of denominators i.e. for 640,6165 is 5.
Thus, LCM of Fractions is 161586.Finally, LCM of Fractions for 94/640, 8595/6165 is 161586.