Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/297, 8669/3630 quickly i.e. 606830/33 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/297, 8669/3630 is 606830/33.
LCM(70/297, 8669/3630) = 606830/33
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/297,8669/3630
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 70,8669
Least Common Multiple of Numerators i.e. LCM of 70,8669 is 606830.
GCF of Denominators means GCF of 297,3630 as per the given fractions.
GCF of 297,3630 is 33 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,8669
Given numbers has no common factors except 1. So, there LCM is their product i.e 606830
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 70,8669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,8669) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(70,8669) x common factors =1 x 1 = 1
LCM(70,8669) = ( 70 × 8669 ) / 1
LCM(70,8669) = 606830 / 1
LCM(70,8669) = 606830
Lets's calculate GCF of 297,3630
3 | 297, 3630 |
11 | 99, 1210 |
9, 110 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 606830/33
Therefore the LCM of Fractions 70/297,8669/3630 is 606830/33
Factors of 297
List of positive integer factors of 297 that divides 297 without a remainder.
1,3,9,11,27,33,99,297
Factors of 3630
List of positive integer factors of 3630 that divides 3630 without a remainder.
1,2,3,5,6,10,11,15,22,30,33,55,66,110,121,165,242,330,363,605,726,1210,1815,3630
Greatest Common Factor
We found the factors 297,3630 . The biggest common factor number is the GCF number.
So the greatest common factor 297,3630 is 33.
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 70/297, 8669/3630?
Answer: LCM of Numerators as per given numbers 70/297, 8669/3630 is
LCM of Numerators i.e. for 70,8669 is 606830
GCF of denominators i.e. for 297,3630 is 33.
Thus, LCM of Fractions is 606830/33.Finally, LCM of Fractions for 70/297, 8669/3630 is 606830/33.