Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 90/345, 29/132, 421/729 quickly i.e. 366270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 90/345, 29/132, 421/729 is 366270.
LCM(90/345, 29/132, 421/729) = 366270
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 90/345,29/132,421/729
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 90,29,421
Least Common Multiple of Numerators i.e. LCM of 90,29,421 is 1098810.
GCF of Denominators means GCF of 345,132,729 as per the given fractions.
GCF of 345,132,729 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 90,29,421
Given numbers has no common factors except 1. So, there LCM is their product i.e 1098810
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 90,29,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,29,421) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(90,29,421) x common factors =1 x 1 = 1
LCM(90,29,421) = ( 90 × 29 × 421 ) / 1
LCM(90,29,421) = 1098810 / 1
LCM(90,29,421) = 1098810
Lets's calculate GCF of 345,132,729
3 | 345, 132, 729 |
115, 44, 243 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1098810/3
Therefore the LCM of Fractions 90/345,29/132,421/729 is 366270
Factors of 345
List of positive integer factors of 345 that divides 345 without a remainder.
1,3,5,15,23,69,115,345
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
Factors of 729
List of positive integer factors of 729 that divides 729 without a remainder.
1,3,9,27,81,243,729
Greatest Common Factor
We found the factors 345,132,729 . The biggest common factor number is the GCF number.
So the greatest common factor 345,132,729 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 90/345, 29/132, 421/729?
Answer: LCM of Numerators as per given numbers 90/345, 29/132, 421/729 is
LCM of Numerators i.e. for 90,29,421 is 1098810
GCF of denominators i.e. for 345,132,729 is 3.
Thus, LCM of Fractions is 366270.Finally, LCM of Fractions for 90/345, 29/132, 421/729 is 366270.