Find the LCM of 454, 648, 954, 640 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 454, 648, 954, 640. So, keep reading to learn more.
Given numbers are 454,648,954,640
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 454,648,954,640 is 623687040.
Find LCM of 454,648,954,640 with Prime Factorization
2 | 454, 648, 954, 640 |
2 | 227, 324, 477, 320 |
2 | 227, 162, 477, 160 |
3 | 227, 81, 477, 80 |
3 | 227, 27, 159, 80 |
227, 9, 53, 80 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 227 x 9 x 53 x 80 = 623687040
Therefore, the lowest common multiple of 454,648,954,640 is 623687040.
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.
454 x 648 x 954 x 640 = 179621867520
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.
454 : 1, 2, 227, 454
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,648,954,640, is 2.
Now, the common factors can be found like this.
454:2x 227
648:2x 2x 2x 3x 3x 3x 3
954:2x 3x 3x 53
640:2x 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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 179621867520/(2x144)
LCM = 179621867520/288
LCM = 623687040
Thus, we can understand that the LCM of 454,648,954,640 is 623687040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 454, 648, 954, 640?
Answer: LCM of 454, 648, 954, 640 is 623687040.
2. How to calculate the LCM of 454, 648, 954, 640?
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 454, 648, 954, 640.
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}.