Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 85/897, 9058/4876 quickly i.e. 769930/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 85/897, 9058/4876 is 769930/23.
LCM(85/897, 9058/4876) = 769930/23
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 85/897,9058/4876
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 85,9058
Least Common Multiple of Numerators i.e. LCM of 85,9058 is 769930.
GCF of Denominators means GCF of 897,4876 as per the given fractions.
GCF of 897,4876 is 23 as it is the largest common factor for these numbers.
Lets's calculate LCM of 85,9058
Given numbers has no common factors except 1. So, there LCM is their product i.e 769930
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 85,9058 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,9058) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,9058) x common factors =1 x 1 = 1
LCM(85,9058) = ( 85 × 9058 ) / 1
LCM(85,9058) = 769930 / 1
LCM(85,9058) = 769930
Lets's calculate GCF of 897,4876
23 | 897, 4876 |
39, 212 |
∴ So the GCF of the given numbers is 23 = 23
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 769930/23
Therefore the LCM of Fractions 85/897,9058/4876 is 769930/23
Factors of 897
List of positive integer factors of 897 that divides 897 without a remainder.
1,3,13,23,39,69,299,897
Factors of 4876
List of positive integer factors of 4876 that divides 4876 without a remainder.
1,2,4,23,46,53,92,106,212,1219,2438,4876
Greatest Common Factor
We found the factors 897,4876 . The biggest common factor number is the GCF number.
So the greatest common factor 897,4876 is 23.
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 85/897, 9058/4876?
Answer: LCM of Numerators as per given numbers 85/897, 9058/4876 is
LCM of Numerators i.e. for 85,9058 is 769930
GCF of denominators i.e. for 897,4876 is 23.
Thus, LCM of Fractions is 769930/23.Finally, LCM of Fractions for 85/897, 9058/4876 is 769930/23.