Find the LCM of 993, 519, 780, 900, 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 993, 519, 780, 900, 478. So, keep reading to learn more.
Given numbers are 993,519,780,900,478
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,519,780,900,478 is 160124526900.
Find LCM of 993,519,780,900,478 with Prime Factorization
2 | 993, 519, 780, 900, 478 |
2 | 993, 519, 390, 450, 239 |
3 | 993, 519, 195, 225, 239 |
5 | 331, 173, 65, 75, 239 |
331, 173, 13, 15, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 331 x 173 x 13 x 15 x 239 = 160124526900
Therefore, the lowest common multiple of 993,519,780,900,478 is 160124526900.
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.
993 x 519 x 780 x 900 x 478 = 172934489052000
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.
993 : 1, 3, 331, 993
519 : 1, 3, 173, 519
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
478 : 1, 2, 239, 478
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,519,780,900,478, is 1.
Now, the common factors can be found like this.
993:3x 331
519:3x 173
780:2x 2x 3x 5x 13
900:2x 2x 3x 3x 5x 5
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 3x 3x 5 = 1080
Therefore, the value for common factors is 1080.
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 = 172934489052000/(1x1080)
LCM = 172934489052000/1080
LCM = 160124526900
Thus, we can understand that the LCM of 993,519,780,900,478 is 160124526900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 993, 519, 780, 900, 478?
Answer: LCM of 993, 519, 780, 900, 478 is 160124526900.
2. How to calculate the LCM of 993, 519, 780, 900, 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 993, 519, 780, 900, 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}.