Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 388/756, 554/844, 275/452 quickly i.e. 7388975 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 388/756, 554/844, 275/452 is 7388975.
LCM(388/756, 554/844, 275/452) = 7388975
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 388/756,554/844,275/452
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 388,554,275
Least Common Multiple of Numerators i.e. LCM of 388,554,275 is 29555900.
GCF of Denominators means GCF of 756,844,452 as per the given fractions.
GCF of 756,844,452 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 388,554,275
2 | 388, 554, 275 |
194, 277, 275 |
∴ So the LCM of the given numbers is 2 x 194 x 277 x 275 = 29555900
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 388,554,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(388,554,275) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(388,554,275) x common factors =1 x 2 = 2
LCM(388,554,275) = ( 388 × 554 × 275 ) / 2
LCM(388,554,275) = 59111800 / 2
LCM(388,554,275) = 29555900
Lets's calculate GCF of 756,844,452
2 | 756, 844, 452 |
2 | 378, 422, 226 |
189, 211, 113 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29555900/4
Therefore the LCM of Fractions 388/756,554/844,275/452 is 7388975
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 844
List of positive integer factors of 844 that divides 844 without a remainder.
1,2,4,211,422,844
Factors of 452
List of positive integer factors of 452 that divides 452 without a remainder.
1,2,4,113,226,452
Greatest Common Factor
We found the factors 756,844,452 . The biggest common factor number is the GCF number.
So the greatest common factor 756,844,452 is 4.
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 388/756, 554/844, 275/452?
Answer: LCM of Numerators as per given numbers 388/756, 554/844, 275/452 is
LCM of Numerators i.e. for 388,554,275 is 29555900
GCF of denominators i.e. for 756,844,452 is 4.
Thus, LCM of Fractions is 7388975.Finally, LCM of Fractions for 388/756, 554/844, 275/452 is 7388975.