Find the LCM of 150, 963, 813, 320, 273 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 150, 963, 813, 320, 273. So, keep reading to learn more.
Given numbers are 150,963,813,320,273
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 150,963,813,320,273 is 37997668800.
Find LCM of 150,963,813,320,273 with Prime Factorization
2 | 150, 963, 813, 320, 273 |
3 | 75, 963, 813, 160, 273 |
5 | 25, 321, 271, 160, 91 |
5, 321, 271, 32, 91 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 321 x 271 x 32 x 91 = 37997668800
Therefore, the lowest common multiple of 150,963,813,320,273 is 37997668800.
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.
150 x 963 x 813 x 320 x 273 = 10259370576000
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.
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
963 : 1, 3, 9, 107, 321, 963
813 : 1, 3, 271, 813
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
273 : 1, 3, 7, 13, 21, 39, 91, 273
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 150,963,813,320,273, is 1.
Now, the common factors can be found like this.
150:2x 3x 5x 5
963:3x 3x 107
813:3x 271
320:2x 2x 2x 2x 2x 2x 5
273:3x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5 = 270
Therefore, the value for common factors is 270.
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 = 10259370576000/(1x270)
LCM = 10259370576000/270
LCM = 37997668800
Thus, we can understand that the LCM of 150,963,813,320,273 is 37997668800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 150, 963, 813, 320, 273?
Answer: LCM of 150, 963, 813, 320, 273 is 37997668800.
2. How to calculate the LCM of 150, 963, 813, 320, 273?
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 150, 963, 813, 320, 273.
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}.