Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 759/669, 7823/8423 quickly i.e. 5937657 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 759/669, 7823/8423 is 5937657.
LCM(759/669, 7823/8423) = 5937657
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 759/669,7823/8423
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 759,7823
Least Common Multiple of Numerators i.e. LCM of 759,7823 is 5937657.
GCF of Denominators means GCF of 669,8423 as per the given fractions.
GCF of 669,8423 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 759,7823
Given numbers has no common factors except 1. So, there LCM is their product i.e 5937657
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 759,7823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(759,7823) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(759,7823) x common factors =1 x 1 = 1
LCM(759,7823) = ( 759 × 7823 ) / 1
LCM(759,7823) = 5937657 / 1
LCM(759,7823) = 5937657
Lets's calculate GCF of 669,8423
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5937657/1
Therefore the LCM of Fractions 759/669,7823/8423 is 5937657
Factors of 669
List of positive integer factors of 669 that divides 669 without a remainder.
1,3,223,669
Factors of 8423
List of positive integer factors of 8423 that divides 8423 without a remainder.
1,8423
Greatest Common Factor
We found the factors 669,8423 . The biggest common factor number is the GCF number.
So the greatest common factor 669,8423 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 759/669, 7823/8423?
Answer: LCM of Numerators as per given numbers 759/669, 7823/8423 is
LCM of Numerators i.e. for 759,7823 is 5937657
GCF of denominators i.e. for 669,8423 is 1.
Thus, LCM of Fractions is 5937657.Finally, LCM of Fractions for 759/669, 7823/8423 is 5937657.