Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/825, 175/410, 326/942 quickly i.e. 1654450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/825, 175/410, 326/942 is 1654450.
LCM(29/825, 175/410, 326/942) = 1654450
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/825,175/410,326/942
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 29,175,326
Least Common Multiple of Numerators i.e. LCM of 29,175,326 is 1654450.
GCF of Denominators means GCF of 825,410,942 as per the given fractions.
GCF of 825,410,942 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,175,326
Given numbers has no common factors except 1. So, there LCM is their product i.e 1654450
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 29,175,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,175,326) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,175,326) x common factors =1 x 1 = 1
LCM(29,175,326) = ( 29 × 175 × 326 ) / 1
LCM(29,175,326) = 1654450 / 1
LCM(29,175,326) = 1654450
Lets's calculate GCF of 825,410,942
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1654450/1
Therefore the LCM of Fractions 29/825,175/410,326/942 is 1654450
Factors of 825
List of positive integer factors of 825 that divides 825 without a remainder.
1,3,5,11,15,25,33,55,75,165,275,825
Factors of 410
List of positive integer factors of 410 that divides 410 without a remainder.
1,2,5,10,41,82,205,410
Factors of 942
List of positive integer factors of 942 that divides 942 without a remainder.
1,2,3,6,157,314,471,942
Greatest Common Factor
We found the factors 825,410,942 . The biggest common factor number is the GCF number.
So the greatest common factor 825,410,942 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 29/825, 175/410, 326/942?
Answer: LCM of Numerators as per given numbers 29/825, 175/410, 326/942 is
LCM of Numerators i.e. for 29,175,326 is 1654450
GCF of denominators i.e. for 825,410,942 is 1.
Thus, LCM of Fractions is 1654450.Finally, LCM of Fractions for 29/825, 175/410, 326/942 is 1654450.