Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 629/835, 484/298, 881/185 quickly i.e. 268208116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 629/835, 484/298, 881/185 is 268208116.
LCM(629/835, 484/298, 881/185) = 268208116
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 629/835,484/298,881/185
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 629,484,881
Least Common Multiple of Numerators i.e. LCM of 629,484,881 is 268208116.
GCF of Denominators means GCF of 835,298,185 as per the given fractions.
GCF of 835,298,185 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 629,484,881
Given numbers has no common factors except 1. So, there LCM is their product i.e 268208116
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 629,484,881 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(629,484,881) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(629,484,881) x common factors =1 x 1 = 1
LCM(629,484,881) = ( 629 × 484 × 881 ) / 1
LCM(629,484,881) = 268208116 / 1
LCM(629,484,881) = 268208116
Lets's calculate GCF of 835,298,185
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 268208116/1
Therefore the LCM of Fractions 629/835,484/298,881/185 is 268208116
Factors of 835
List of positive integer factors of 835 that divides 835 without a remainder.
1,5,167,835
Factors of 298
List of positive integer factors of 298 that divides 298 without a remainder.
1,2,149,298
Factors of 185
List of positive integer factors of 185 that divides 185 without a remainder.
1,5,37,185
Greatest Common Factor
We found the factors 835,298,185 . The biggest common factor number is the GCF number.
So the greatest common factor 835,298,185 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 629/835, 484/298, 881/185?
Answer: LCM of Numerators as per given numbers 629/835, 484/298, 881/185 is
LCM of Numerators i.e. for 629,484,881 is 268208116
GCF of denominators i.e. for 835,298,185 is 1.
Thus, LCM of Fractions is 268208116.Finally, LCM of Fractions for 629/835, 484/298, 881/185 is 268208116.