Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4223/718, 5223/851 quickly i.e. 22056729 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4223/718, 5223/851 is 22056729.
LCM(4223/718, 5223/851) = 22056729
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4223/718,5223/851
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 4223,5223
Least Common Multiple of Numerators i.e. LCM of 4223,5223 is 22056729.
GCF of Denominators means GCF of 718,851 as per the given fractions.
GCF of 718,851 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4223,5223
Given numbers has no common factors except 1. So, there LCM is their product i.e 22056729
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 4223,5223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4223,5223) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4223,5223) x common factors =1 x 1 = 1
LCM(4223,5223) = ( 4223 × 5223 ) / 1
LCM(4223,5223) = 22056729 / 1
LCM(4223,5223) = 22056729
Lets's calculate GCF of 718,851
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22056729/1
Therefore the LCM of Fractions 4223/718,5223/851 is 22056729
Factors of 718
List of positive integer factors of 718 that divides 718 without a remainder.
1,2,359,718
Factors of 851
List of positive integer factors of 851 that divides 851 without a remainder.
1,23,37,851
Greatest Common Factor
We found the factors 718,851 . The biggest common factor number is the GCF number.
So the greatest common factor 718,851 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 4223/718, 5223/851?
Answer: LCM of Numerators as per given numbers 4223/718, 5223/851 is
LCM of Numerators i.e. for 4223,5223 is 22056729
GCF of denominators i.e. for 718,851 is 1.
Thus, LCM of Fractions is 22056729.Finally, LCM of Fractions for 4223/718, 5223/851 is 22056729.