Find the LCM of 156, 605, 361, 448, 280 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 156, 605, 361, 448, 280. So, keep reading to learn more.
Given numbers are 156,605,361,448,280
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 156,605,361,448,280 is 3815972160.
Find LCM of 156,605,361,448,280 with Prime Factorization
2 | 156, 605, 361, 448, 280 |
2 | 78, 605, 361, 224, 140 |
2 | 39, 605, 361, 112, 70 |
5 | 39, 605, 361, 56, 35 |
7 | 39, 121, 361, 56, 7 |
39, 121, 361, 8, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 39 x 121 x 361 x 8 x 1 = 3815972160
Therefore, the lowest common multiple of 156,605,361,448,280 is 3815972160.
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.
156 x 605 x 361 x 448 x 280 = 4273888819200
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.
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
605 : 1, 5, 11, 55, 121, 605
361 : 1, 19, 361
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 156,605,361,448,280, is 1.
Now, the common factors can be found like this.
156:2x 2x 3x 13
605:5x 11x 11
361:19x 19
448:2x 2x 2x 2x 2x 2x 7
280:2x 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 2x 5x 7 = 1120
Therefore, the value for common factors is 1120.
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 = 4273888819200/(1x1120)
LCM = 4273888819200/1120
LCM = 3815972160
Thus, we can understand that the LCM of 156,605,361,448,280 is 3815972160.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 156, 605, 361, 448, 280?
Answer: LCM of 156, 605, 361, 448, 280 is 3815972160.
2. How to calculate the LCM of 156, 605, 361, 448, 280?
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 156, 605, 361, 448, 280.
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}.