Find the LCM of 128, 913, 352, 590, 478 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 128, 913, 352, 590, 478. So, keep reading to learn more.
Given numbers are 128,913,352,590,478
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 128,913,352,590,478 is 8239496320.
Find LCM of 128,913,352,590,478 with Prime Factorization
2 | 128, 913, 352, 590, 478 |
2 | 64, 913, 176, 295, 239 |
2 | 32, 913, 88, 295, 239 |
2 | 16, 913, 44, 295, 239 |
2 | 8, 913, 22, 295, 239 |
11 | 4, 913, 11, 295, 239 |
4, 83, 1, 295, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 11 x 4 x 83 x 1 x 295 x 239 = 8239496320
Therefore, the lowest common multiple of 128,913,352,590,478 is 8239496320.
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.
128 x 913 x 352 x 590 x 478 = 11601210818560
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.
128 : 1, 2, 4, 8, 16, 32, 64, 128
913 : 1, 11, 83, 913
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
590 : 1, 2, 5, 10, 59, 118, 295, 590
478 : 1, 2, 239, 478
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 128,913,352,590,478, is 1.
Now, the common factors can be found like this.
128:2x 2x 2x 2x 2x 2x 2
913:11x 83
352:2x 2x 2x 2x 2x 11
590:2x 5x 59
478:2x 239
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 2x 2x 11 = 1408
Therefore, the value for common factors is 1408.
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 = 11601210818560/(1x1408)
LCM = 11601210818560/1408
LCM = 8239496320
Thus, we can understand that the LCM of 128,913,352,590,478 is 8239496320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 128, 913, 352, 590, 478?
Answer: LCM of 128, 913, 352, 590, 478 is 8239496320.
2. How to calculate the LCM of 128, 913, 352, 590, 478?
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 128, 913, 352, 590, 478.
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}.