LCM of 398, 520, 585, 559
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 398, 520, 585, 559 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 398, 520, 585, 559. So, keep reading to learn more.
Given numbers are 398,520,585,559
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,520,585,559 is 40046760.
Find LCM of 398,520,585,559 with Prime Factorization
| 2 | 398, 520, 585, 559 |
| 5 | 199, 260, 585, 559 |
| 13 | 199, 52, 117, 559 |
| 199, 4, 9, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 199 x 4 x 9 x 43 = 40046760
Therefore, the lowest common multiple of 398,520,585,559 is 40046760.
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.
398 x 520 x 585 x 559 = 67679024400
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.
398 : 1, 2, 199, 398
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
559 : 1, 13, 43, 559
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,520,585,559, is 1.
Now, the common factors can be found like this.
398:2x 199
520:2x 2x 2x 5x 13
585:3x 3x 5x 13
559:13x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 13x 13 = 1690
Therefore, the value for common factors is 1690.
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 = 67679024400/(1x1690)
LCM = 67679024400/1690
LCM = 40046760
Thus, we can understand that the LCM of 398,520,585,559 is 40046760.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 398, 520, 585, 559
1. What is the LCM of 398, 520, 585, 559?
Answer: LCM of 398, 520, 585, 559 is 40046760.
2. How to calculate the LCM of 398, 520, 585, 559?
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 398, 520, 585, 559.
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}.