Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8847/860, 2170/9555 quickly i.e. 3839598 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8847/860, 2170/9555 is 3839598.
LCM(8847/860, 2170/9555) = 3839598
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8847/860,2170/9555
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 8847,2170
Least Common Multiple of Numerators i.e. LCM of 8847,2170 is 19197990.
GCF of Denominators means GCF of 860,9555 as per the given fractions.
GCF of 860,9555 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8847,2170
Given numbers has no common factors except 1. So, there LCM is their product i.e 19197990
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 8847,2170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8847,2170) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8847,2170) x common factors =1 x 1 = 1
LCM(8847,2170) = ( 8847 × 2170 ) / 1
LCM(8847,2170) = 19197990 / 1
LCM(8847,2170) = 19197990
Lets's calculate GCF of 860,9555
5 | 860, 9555 |
172, 1911 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19197990/5
Therefore the LCM of Fractions 8847/860,2170/9555 is 3839598
Factors of 860
List of positive integer factors of 860 that divides 860 without a remainder.
1,2,4,5,10,20,43,86,172,215,430,860
Factors of 9555
List of positive integer factors of 9555 that divides 9555 without a remainder.
1,3,5,7,13,15,21,35,39,49,65,91,105,147,195,245,273,455,637,735,1365,1911,3185,9555
Greatest Common Factor
We found the factors 860,9555 . The biggest common factor number is the GCF number.
So the greatest common factor 860,9555 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 8847/860, 2170/9555?
Answer: LCM of Numerators as per given numbers 8847/860, 2170/9555 is
LCM of Numerators i.e. for 8847,2170 is 19197990
GCF of denominators i.e. for 860,9555 is 5.
Thus, LCM of Fractions is 3839598.Finally, LCM of Fractions for 8847/860, 2170/9555 is 3839598.