Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4890/854, 8948/858 quickly i.e. 10938930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4890/854, 8948/858 is 10938930.
LCM(4890/854, 8948/858) = 10938930
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4890/854,8948/858
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 4890,8948
Least Common Multiple of Numerators i.e. LCM of 4890,8948 is 21877860.
GCF of Denominators means GCF of 854,858 as per the given fractions.
GCF of 854,858 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4890,8948
2 | 4890, 8948 |
2445, 4474 |
∴ So the LCM of the given numbers is 2 x 2445 x 4474 = 21877860
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 4890,8948 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4890,8948) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(4890,8948) x common factors =2 x 1 = 2
LCM(4890,8948) = ( 4890 × 8948 ) / 2
LCM(4890,8948) = 43755720 / 2
LCM(4890,8948) = 21877860
Lets's calculate GCF of 854,858
2 | 854, 858 |
427, 429 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21877860/2
Therefore the LCM of Fractions 4890/854,8948/858 is 10938930
Factors of 854
List of positive integer factors of 854 that divides 854 without a remainder.
1,2,7,14,61,122,427,854
Factors of 858
List of positive integer factors of 858 that divides 858 without a remainder.
1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858
Greatest Common Factor
We found the factors 854,858 . The biggest common factor number is the GCF number.
So the greatest common factor 854,858 is 2.
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 4890/854, 8948/858?
Answer: LCM of Numerators as per given numbers 4890/854, 8948/858 is
LCM of Numerators i.e. for 4890,8948 is 21877860
GCF of denominators i.e. for 854,858 is 2.
Thus, LCM of Fractions is 10938930.Finally, LCM of Fractions for 4890/854, 8948/858 is 10938930.