Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 853/775, 5414/4918 quickly i.e. 4618142 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 853/775, 5414/4918 is 4618142.
LCM(853/775, 5414/4918) = 4618142
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 853/775,5414/4918
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 853,5414
Least Common Multiple of Numerators i.e. LCM of 853,5414 is 4618142.
GCF of Denominators means GCF of 775,4918 as per the given fractions.
GCF of 775,4918 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 853,5414
Given numbers has no common factors except 1. So, there LCM is their product i.e 4618142
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 853,5414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(853,5414) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(853,5414) x common factors =1 x 1 = 1
LCM(853,5414) = ( 853 × 5414 ) / 1
LCM(853,5414) = 4618142 / 1
LCM(853,5414) = 4618142
Lets's calculate GCF of 775,4918
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4618142/1
Therefore the LCM of Fractions 853/775,5414/4918 is 4618142
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1,5,25,31,155,775
Factors of 4918
List of positive integer factors of 4918 that divides 4918 without a remainder.
1,2,2459,4918
Greatest Common Factor
We found the factors 775,4918 . The biggest common factor number is the GCF number.
So the greatest common factor 775,4918 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 853/775, 5414/4918?
Answer: LCM of Numerators as per given numbers 853/775, 5414/4918 is
LCM of Numerators i.e. for 853,5414 is 4618142
GCF of denominators i.e. for 775,4918 is 1.
Thus, LCM of Fractions is 4618142.Finally, LCM of Fractions for 853/775, 5414/4918 is 4618142.