Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4662/879, 5605/344 quickly i.e. 26130510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4662/879, 5605/344 is 26130510.
LCM(4662/879, 5605/344) = 26130510
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4662/879,5605/344
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 4662,5605
Least Common Multiple of Numerators i.e. LCM of 4662,5605 is 26130510.
GCF of Denominators means GCF of 879,344 as per the given fractions.
GCF of 879,344 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4662,5605
Given numbers has no common factors except 1. So, there LCM is their product i.e 26130510
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 4662,5605 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4662,5605) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4662,5605) x common factors =1 x 1 = 1
LCM(4662,5605) = ( 4662 × 5605 ) / 1
LCM(4662,5605) = 26130510 / 1
LCM(4662,5605) = 26130510
Lets's calculate GCF of 879,344
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26130510/1
Therefore the LCM of Fractions 4662/879,5605/344 is 26130510
Factors of 879
List of positive integer factors of 879 that divides 879 without a remainder.
1,3,293,879
Factors of 344
List of positive integer factors of 344 that divides 344 without a remainder.
1,2,4,8,43,86,172,344
Greatest Common Factor
We found the factors 879,344 . The biggest common factor number is the GCF number.
So the greatest common factor 879,344 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 4662/879, 5605/344?
Answer: LCM of Numerators as per given numbers 4662/879, 5605/344 is
LCM of Numerators i.e. for 4662,5605 is 26130510
GCF of denominators i.e. for 879,344 is 1.
Thus, LCM of Fractions is 26130510.Finally, LCM of Fractions for 4662/879, 5605/344 is 26130510.