Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 429/231, 8795/1982 quickly i.e. 3773055 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 429/231, 8795/1982 is 3773055.
LCM(429/231, 8795/1982) = 3773055
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 429/231,8795/1982
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 429,8795
Least Common Multiple of Numerators i.e. LCM of 429,8795 is 3773055.
GCF of Denominators means GCF of 231,1982 as per the given fractions.
GCF of 231,1982 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 429,8795
Given numbers has no common factors except 1. So, there LCM is their product i.e 3773055
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 429,8795 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,8795) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(429,8795) x common factors =1 x 1 = 1
LCM(429,8795) = ( 429 × 8795 ) / 1
LCM(429,8795) = 3773055 / 1
LCM(429,8795) = 3773055
Lets's calculate GCF of 231,1982
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3773055/1
Therefore the LCM of Fractions 429/231,8795/1982 is 3773055
Factors of 231
List of positive integer factors of 231 that divides 231 without a remainder.
1,3,7,11,21,33,77,231
Factors of 1982
List of positive integer factors of 1982 that divides 1982 without a remainder.
1,2,991,1982
Greatest Common Factor
We found the factors 231,1982 . The biggest common factor number is the GCF number.
So the greatest common factor 231,1982 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 429/231, 8795/1982?
Answer: LCM of Numerators as per given numbers 429/231, 8795/1982 is
LCM of Numerators i.e. for 429,8795 is 3773055
GCF of denominators i.e. for 231,1982 is 1.
Thus, LCM of Fractions is 3773055.Finally, LCM of Fractions for 429/231, 8795/1982 is 3773055.