Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6332/690, 7046/4289 quickly i.e. 22307636 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6332/690, 7046/4289 is 22307636.
LCM(6332/690, 7046/4289) = 22307636
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6332/690,7046/4289
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 6332,7046
Least Common Multiple of Numerators i.e. LCM of 6332,7046 is 22307636.
GCF of Denominators means GCF of 690,4289 as per the given fractions.
GCF of 690,4289 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6332,7046
2 | 6332, 7046 |
3166, 3523 |
∴ So the LCM of the given numbers is 2 x 3166 x 3523 = 22307636
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 6332,7046 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6332,7046) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(6332,7046) x common factors =2 x 1 = 2
LCM(6332,7046) = ( 6332 × 7046 ) / 2
LCM(6332,7046) = 44615272 / 2
LCM(6332,7046) = 22307636
Lets's calculate GCF of 690,4289
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22307636/1
Therefore the LCM of Fractions 6332/690,7046/4289 is 22307636
Factors of 690
List of positive integer factors of 690 that divides 690 without a remainder.
1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690
Factors of 4289
List of positive integer factors of 4289 that divides 4289 without a remainder.
1,4289
Greatest Common Factor
We found the factors 690,4289 . The biggest common factor number is the GCF number.
So the greatest common factor 690,4289 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 6332/690, 7046/4289?
Answer: LCM of Numerators as per given numbers 6332/690, 7046/4289 is
LCM of Numerators i.e. for 6332,7046 is 22307636
GCF of denominators i.e. for 690,4289 is 1.
Thus, LCM of Fractions is 22307636.Finally, LCM of Fractions for 6332/690, 7046/4289 is 22307636.