Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8693/936, 7920/3220 quickly i.e. 17212140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8693/936, 7920/3220 is 17212140.
LCM(8693/936, 7920/3220) = 17212140
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8693/936,7920/3220
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 8693,7920
Least Common Multiple of Numerators i.e. LCM of 8693,7920 is 68848560.
GCF of Denominators means GCF of 936,3220 as per the given fractions.
GCF of 936,3220 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8693,7920
Given numbers has no common factors except 1. So, there LCM is their product i.e 68848560
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 8693,7920 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8693,7920) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8693,7920) x common factors =1 x 1 = 1
LCM(8693,7920) = ( 8693 × 7920 ) / 1
LCM(8693,7920) = 68848560 / 1
LCM(8693,7920) = 68848560
Lets's calculate GCF of 936,3220
2 | 936, 3220 |
2 | 468, 1610 |
234, 805 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68848560/4
Therefore the LCM of Fractions 8693/936,7920/3220 is 17212140
Factors of 936
List of positive integer factors of 936 that divides 936 without a remainder.
1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936
Factors of 3220
List of positive integer factors of 3220 that divides 3220 without a remainder.
1,2,4,5,7,10,14,20,23,28,35,46,70,92,115,140,161,230,322,460,644,805,1610,3220
Greatest Common Factor
We found the factors 936,3220 . The biggest common factor number is the GCF number.
So the greatest common factor 936,3220 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 8693/936, 7920/3220?
Answer: LCM of Numerators as per given numbers 8693/936, 7920/3220 is
LCM of Numerators i.e. for 8693,7920 is 68848560
GCF of denominators i.e. for 936,3220 is 4.
Thus, LCM of Fractions is 17212140.Finally, LCM of Fractions for 8693/936, 7920/3220 is 17212140.