Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 856/147, 8855/3910 quickly i.e. 7579880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 856/147, 8855/3910 is 7579880.
LCM(856/147, 8855/3910) = 7579880
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 856/147,8855/3910
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 856,8855
Least Common Multiple of Numerators i.e. LCM of 856,8855 is 7579880.
GCF of Denominators means GCF of 147,3910 as per the given fractions.
GCF of 147,3910 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 856,8855
Given numbers has no common factors except 1. So, there LCM is their product i.e 7579880
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 856,8855 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(856,8855) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(856,8855) x common factors =1 x 1 = 1
LCM(856,8855) = ( 856 × 8855 ) / 1
LCM(856,8855) = 7579880 / 1
LCM(856,8855) = 7579880
Lets's calculate GCF of 147,3910
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7579880/1
Therefore the LCM of Fractions 856/147,8855/3910 is 7579880
Factors of 147
List of positive integer factors of 147 that divides 147 without a remainder.
1,3,7,21,49,147
Factors of 3910
List of positive integer factors of 3910 that divides 3910 without a remainder.
1,2,5,10,17,23,34,46,85,115,170,230,391,782,1955,3910
Greatest Common Factor
We found the factors 147,3910 . The biggest common factor number is the GCF number.
So the greatest common factor 147,3910 is 1.
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 856/147, 8855/3910?
Answer: LCM of Numerators as per given numbers 856/147, 8855/3910 is
LCM of Numerators i.e. for 856,8855 is 7579880
GCF of denominators i.e. for 147,3910 is 1.
Thus, LCM of Fractions is 7579880.Finally, LCM of Fractions for 856/147, 8855/3910 is 7579880.