Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4045/943, 5207/7711 quickly i.e. 21062315 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4045/943, 5207/7711 is 21062315.
LCM(4045/943, 5207/7711) = 21062315
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4045/943,5207/7711
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 4045,5207
Least Common Multiple of Numerators i.e. LCM of 4045,5207 is 21062315.
GCF of Denominators means GCF of 943,7711 as per the given fractions.
GCF of 943,7711 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4045,5207
Given numbers has no common factors except 1. So, there LCM is their product i.e 21062315
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 4045,5207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4045,5207) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4045,5207) x common factors =1 x 1 = 1
LCM(4045,5207) = ( 4045 × 5207 ) / 1
LCM(4045,5207) = 21062315 / 1
LCM(4045,5207) = 21062315
Lets's calculate GCF of 943,7711
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21062315/1
Therefore the LCM of Fractions 4045/943,5207/7711 is 21062315
Factors of 943
List of positive integer factors of 943 that divides 943 without a remainder.
1,23,41,943
Factors of 7711
List of positive integer factors of 7711 that divides 7711 without a remainder.
1,11,701,7711
Greatest Common Factor
We found the factors 943,7711 . The biggest common factor number is the GCF number.
So the greatest common factor 943,7711 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 4045/943, 5207/7711?
Answer: LCM of Numerators as per given numbers 4045/943, 5207/7711 is
LCM of Numerators i.e. for 4045,5207 is 21062315
GCF of denominators i.e. for 943,7711 is 1.
Thus, LCM of Fractions is 21062315.Finally, LCM of Fractions for 4045/943, 5207/7711 is 21062315.