Find the LCM of 339, 351, 284, 936, 320 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 339, 351, 284, 936, 320. So, keep reading to learn more.
Given numbers are 339,351,284,936,320
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 339,351,284,936,320 is 901143360.
Find LCM of 339,351,284,936,320 with Prime Factorization
2 | 339, 351, 284, 936, 320 |
2 | 339, 351, 142, 468, 160 |
2 | 339, 351, 71, 234, 80 |
3 | 339, 351, 71, 117, 40 |
3 | 113, 39, 71, 117, 40 |
13 | 113, 13, 71, 39, 40 |
113, 1, 71, 3, 40 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 13 x 113 x 1 x 71 x 3 x 40 = 901143360
Therefore, the lowest common multiple of 339,351,284,936,320 is 901143360.
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.
339 x 351 x 284 x 936 x 320 = 10121642219520
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.
339 : 1, 3, 113, 339
351 : 1, 3, 9, 13, 27, 39, 117, 351
284 : 1, 2, 4, 71, 142, 284
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,351,284,936,320, is 1.
Now, the common factors can be found like this.
339:3x 113
351:3x 3x 3x 13
284:2x 2x 71
936:2x 2x 2x 3x 3x 13
320:2x 2x 2x 2x 2x 2x 5
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 2x 3x 3x 3x 13 = 11232
Therefore, the value for common factors is 11232.
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 = 10121642219520/(1x11232)
LCM = 10121642219520/11232
LCM = 901143360
Thus, we can understand that the LCM of 339,351,284,936,320 is 901143360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 339, 351, 284, 936, 320?
Answer: LCM of 339, 351, 284, 936, 320 is 901143360.
2. How to calculate the LCM of 339, 351, 284, 936, 320?
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 339, 351, 284, 936, 320.
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}.