Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 404/756, 998/237, 145/299 quickly i.e. 29231420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 404/756, 998/237, 145/299 is 29231420.
LCM(404/756, 998/237, 145/299) = 29231420
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 404/756,998/237,145/299
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 404,998,145
Least Common Multiple of Numerators i.e. LCM of 404,998,145 is 29231420.
GCF of Denominators means GCF of 756,237,299 as per the given fractions.
GCF of 756,237,299 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 404,998,145
2 | 404, 998, 145 |
202, 499, 145 |
∴ So the LCM of the given numbers is 2 x 202 x 499 x 145 = 29231420
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 404,998,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,998,145) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(404,998,145) x common factors =1 x 2 = 2
LCM(404,998,145) = ( 404 × 998 × 145 ) / 2
LCM(404,998,145) = 58462840 / 2
LCM(404,998,145) = 29231420
Lets's calculate GCF of 756,237,299
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29231420/1
Therefore the LCM of Fractions 404/756,998/237,145/299 is 29231420
Factors of 756
List of positive integer factors of 756 that divides 756 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Factors of 237
List of positive integer factors of 237 that divides 237 without a remainder.
1,3,79,237
Factors of 299
List of positive integer factors of 299 that divides 299 without a remainder.
1,13,23,299
Greatest Common Factor
We found the factors 756,237,299 . The biggest common factor number is the GCF number.
So the greatest common factor 756,237,299 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 404/756, 998/237, 145/299?
Answer: LCM of Numerators as per given numbers 404/756, 998/237, 145/299 is
LCM of Numerators i.e. for 404,998,145 is 29231420
GCF of denominators i.e. for 756,237,299 is 1.
Thus, LCM of Fractions is 29231420.Finally, LCM of Fractions for 404/756, 998/237, 145/299 is 29231420.