LCM of 317, 432, 273, 560
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 317, 432, 273, 560 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 317, 432, 273, 560. So, keep reading to learn more.
Given numbers are 317,432,273,560
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 317,432,273,560 is 62309520.
Find LCM of 317,432,273,560 with Prime Factorization
| 2 | 317, 432, 273, 560 |
| 2 | 317, 216, 273, 280 |
| 2 | 317, 108, 273, 140 |
| 2 | 317, 54, 273, 70 |
| 3 | 317, 27, 273, 35 |
| 7 | 317, 9, 91, 35 |
| 317, 9, 13, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 317 x 9 x 13 x 5 = 62309520
Therefore, the lowest common multiple of 317,432,273,560 is 62309520.
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.
317 x 432 x 273 x 560 = 20935998720
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.
317 : 1, 317
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
273 : 1, 3, 7, 13, 21, 39, 91, 273
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,432,273,560, is 1.
Now, the common factors can be found like this.
317:317
432:2x 2x 2x 2x 3x 3x 3
273:3x 7x 13
560:2x 2x 2x 2x 5x 7
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 7 = 336
Therefore, the value for common factors is 336.
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 = 20935998720/(1x336)
LCM = 20935998720/336
LCM = 62309520
Thus, we can understand that the LCM of 317,432,273,560 is 62309520.
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FAQs on LCM of 317, 432, 273, 560
1. What is the LCM of 317, 432, 273, 560?
Answer: LCM of 317, 432, 273, 560 is 62309520.
2. How to calculate the LCM of 317, 432, 273, 560?
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 317, 432, 273, 560.
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}.