LCM of 330, 256, 955, 642, 478
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 330, 256, 955, 642, 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 330, 256, 955, 642, 478. So, keep reading to learn more.
Given numbers are 330,256,955,642,478
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 330,256,955,642,478 is 206318872320.
Find LCM of 330,256,955,642,478 with Prime Factorization
| 2 | 330, 256, 955, 642, 478 |
| 3 | 165, 128, 955, 321, 239 |
| 5 | 55, 128, 955, 107, 239 |
| 11, 128, 191, 107, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 128 x 191 x 107 x 239 = 206318872320
Therefore, the lowest common multiple of 330,256,955,642,478 is 206318872320.
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.
330 x 256 x 955 x 642 x 478 = 24758264678400
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.
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
955 : 1, 5, 191, 955
642 : 1, 2, 3, 6, 107, 214, 321, 642
478 : 1, 2, 239, 478
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,256,955,642,478, is 1.
Now, the common factors can be found like this.
330:2x 3x 5x 11
256:2x 2x 2x 2x 2x 2x 2x 2
955:5x 191
642:2x 3x 107
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 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 24758264678400/(1x120)
LCM = 24758264678400/120
LCM = 206318872320
Thus, we can understand that the LCM of 330,256,955,642,478 is 206318872320.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 330, 256, 955, 642, 478
1. What is the LCM of 330, 256, 955, 642, 478?
Answer: LCM of 330, 256, 955, 642, 478 is 206318872320.
2. How to calculate the LCM of 330, 256, 955, 642, 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 330, 256, 955, 642, 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}.