Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 66/435, 9787/8229 quickly i.e. 215314 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 66/435, 9787/8229 is 215314.
LCM(66/435, 9787/8229) = 215314
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 66/435,9787/8229
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 66,9787
Least Common Multiple of Numerators i.e. LCM of 66,9787 is 645942.
GCF of Denominators means GCF of 435,8229 as per the given fractions.
GCF of 435,8229 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 66,9787
Given numbers has no common factors except 1. So, there LCM is their product i.e 645942
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 66,9787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,9787) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(66,9787) x common factors =1 x 1 = 1
LCM(66,9787) = ( 66 × 9787 ) / 1
LCM(66,9787) = 645942 / 1
LCM(66,9787) = 645942
Lets's calculate GCF of 435,8229
3 | 435, 8229 |
145, 2743 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 645942/3
Therefore the LCM of Fractions 66/435,9787/8229 is 215314
Factors of 435
List of positive integer factors of 435 that divides 435 without a remainder.
1,3,5,15,29,87,145,435
Factors of 8229
List of positive integer factors of 8229 that divides 8229 without a remainder.
1,3,13,39,211,633,2743,8229
Greatest Common Factor
We found the factors 435,8229 . The biggest common factor number is the GCF number.
So the greatest common factor 435,8229 is 3.
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 66/435, 9787/8229?
Answer: LCM of Numerators as per given numbers 66/435, 9787/8229 is
LCM of Numerators i.e. for 66,9787 is 645942
GCF of denominators i.e. for 435,8229 is 3.
Thus, LCM of Fractions is 215314.Finally, LCM of Fractions for 66/435, 9787/8229 is 215314.