LCM of 504, 504, 398, 574
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 504, 504, 398, 574 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 504, 504, 398, 574. So, keep reading to learn more.
Given numbers are 504,504,398,574
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 504,504,398,574 is 4112136.
Find LCM of 504,504,398,574 with Prime Factorization
| 2 | 504, 504, 398, 574 |
| 2 | 252, 252, 199, 287 |
| 2 | 126, 126, 199, 287 |
| 3 | 63, 63, 199, 287 |
| 3 | 21, 21, 199, 287 |
| 7 | 7, 7, 199, 287 |
| 1, 1, 199, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 7 x 1 x 1 x 199 x 41 = 4112136
Therefore, the lowest common multiple of 504,504,398,574 is 4112136.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
504 x 504 x 398 x 574 = 58030463232
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
398 : 1, 2, 199, 398
574 : 1, 2, 7, 14, 41, 82, 287, 574
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,504,398,574, is 2.
Now, the common factors can be found like this.
504:2x 2x 2x 3x 3x 7
504:2x 2x 2x 3x 3x 7
398:2x 199
574:2x 7x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 3x 7x 7 = 7056
Therefore, the value for common factors is 7056.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 58030463232/(2x7056)
LCM = 58030463232/14112
LCM = 4112136
Thus, we can understand that the LCM of 504,504,398,574 is 4112136.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 504, 504, 398, 574
1. What is the LCM of 504, 504, 398, 574?
Answer: LCM of 504, 504, 398, 574 is 4112136.
2. How to calculate the LCM of 504, 504, 398, 574?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 504, 504, 398, 574.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.