Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 884/780, 4427/871 quickly i.e. 301036 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 884/780, 4427/871 is 301036.
LCM(884/780, 4427/871) = 301036
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 884/780,4427/871
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 884,4427
Least Common Multiple of Numerators i.e. LCM of 884,4427 is 3913468.
GCF of Denominators means GCF of 780,871 as per the given fractions.
GCF of 780,871 is 13 as it is the largest common factor for these numbers.
Lets's calculate LCM of 884,4427
Given numbers has no common factors except 1. So, there LCM is their product i.e 3913468
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 884,4427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(884,4427) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(884,4427) x common factors =1 x 1 = 1
LCM(884,4427) = ( 884 × 4427 ) / 1
LCM(884,4427) = 3913468 / 1
LCM(884,4427) = 3913468
Lets's calculate GCF of 780,871
13 | 780, 871 |
60, 67 |
∴ So the GCF of the given numbers is 13 = 13
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3913468/13
Therefore the LCM of Fractions 884/780,4427/871 is 301036
Factors of 780
List of positive integer factors of 780 that divides 780 without a remainder.
1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Factors of 871
List of positive integer factors of 871 that divides 871 without a remainder.
1,13,67,871
Greatest Common Factor
We found the factors 780,871 . The biggest common factor number is the GCF number.
So the greatest common factor 780,871 is 13.
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 884/780, 4427/871?
Answer: LCM of Numerators as per given numbers 884/780, 4427/871 is
LCM of Numerators i.e. for 884,4427 is 3913468
GCF of denominators i.e. for 780,871 is 13.
Thus, LCM of Fractions is 301036.Finally, LCM of Fractions for 884/780, 4427/871 is 301036.