Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 917/112, 2845/8520 quickly i.e. 2608865/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 917/112, 2845/8520 is 2608865/8.
LCM(917/112, 2845/8520) = 2608865/8
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 917/112,2845/8520
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 917,2845
Least Common Multiple of Numerators i.e. LCM of 917,2845 is 2608865.
GCF of Denominators means GCF of 112,8520 as per the given fractions.
GCF of 112,8520 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 917,2845
Given numbers has no common factors except 1. So, there LCM is their product i.e 2608865
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 917,2845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(917,2845) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(917,2845) x common factors =1 x 1 = 1
LCM(917,2845) = ( 917 × 2845 ) / 1
LCM(917,2845) = 2608865 / 1
LCM(917,2845) = 2608865
Lets's calculate GCF of 112,8520
2 | 112, 8520 |
2 | 56, 4260 |
2 | 28, 2130 |
14, 1065 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2608865/8
Therefore the LCM of Fractions 917/112,2845/8520 is 2608865/8
Factors of 112
List of positive integer factors of 112 that divides 112 without a remainder.
1,2,4,7,8,14,16,28,56,112
Factors of 8520
List of positive integer factors of 8520 that divides 8520 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,71,120,142,213,284,355,426,568,710,852,1065,1420,1704,2130,2840,4260,8520
Greatest Common Factor
We found the factors 112,8520 . The biggest common factor number is the GCF number.
So the greatest common factor 112,8520 is 8.
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 917/112, 2845/8520?
Answer: LCM of Numerators as per given numbers 917/112, 2845/8520 is
LCM of Numerators i.e. for 917,2845 is 2608865
GCF of denominators i.e. for 112,8520 is 8.
Thus, LCM of Fractions is 2608865/8.Finally, LCM of Fractions for 917/112, 2845/8520 is 2608865/8.