Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 400/252, 296/303, 729/813 quickly i.e. 3596400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 400/252, 296/303, 729/813 is 3596400.
LCM(400/252, 296/303, 729/813) = 3596400
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 400/252,296/303,729/813
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 400,296,729
Least Common Multiple of Numerators i.e. LCM of 400,296,729 is 10789200.
GCF of Denominators means GCF of 252,303,813 as per the given fractions.
GCF of 252,303,813 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 400,296,729
2 | 400, 296, 729 |
2 | 200, 148, 729 |
2 | 100, 74, 729 |
50, 37, 729 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 50 x 37 x 729 = 10789200
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 400,296,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(400,296,729) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(400,296,729) x common factors =1 x 8 = 8
LCM(400,296,729) = ( 400 × 296 × 729 ) / 8
LCM(400,296,729) = 86313600 / 8
LCM(400,296,729) = 10789200
Lets's calculate GCF of 252,303,813
3 | 252, 303, 813 |
84, 101, 271 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10789200/3
Therefore the LCM of Fractions 400/252,296/303,729/813 is 3596400
Factors of 252
List of positive integer factors of 252 that divides 252 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252
Factors of 303
List of positive integer factors of 303 that divides 303 without a remainder.
1,3,101,303
Factors of 813
List of positive integer factors of 813 that divides 813 without a remainder.
1,3,271,813
Greatest Common Factor
We found the factors 252,303,813 . The biggest common factor number is the GCF number.
So the greatest common factor 252,303,813 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 400/252, 296/303, 729/813?
Answer: LCM of Numerators as per given numbers 400/252, 296/303, 729/813 is
LCM of Numerators i.e. for 400,296,729 is 10789200
GCF of denominators i.e. for 252,303,813 is 3.
Thus, LCM of Fractions is 3596400.Finally, LCM of Fractions for 400/252, 296/303, 729/813 is 3596400.