LCM of 300, 629, 500, 600, 811
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 300, 629, 500, 600, 811 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 300, 629, 500, 600, 811. So, keep reading to learn more.
Given numbers are 300,629,500,600,811
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 300,629,500,600,811 is 1530357000.
Find LCM of 300,629,500,600,811 with Prime Factorization
| 2 | 300, 629, 500, 600, 811 |
| 2 | 150, 629, 250, 300, 811 |
| 3 | 75, 629, 125, 150, 811 |
| 5 | 25, 629, 125, 50, 811 |
| 5 | 5, 629, 25, 10, 811 |
| 1, 629, 5, 2, 811 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 1 x 629 x 5 x 2 x 811 = 1530357000
Therefore, the lowest common multiple of 300,629,500,600,811 is 1530357000.
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.
300 x 629 x 500 x 600 x 811 = 45910710000000
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.
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
629 : 1, 17, 37, 629
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
811 : 1, 811
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,629,500,600,811, is 1.
Now, the common factors can be found like this.
300:2x 2x 3x 5x 5
629:17x 37
500:2x 2x 5x 5x 5
600:2x 2x 2x 3x 5x 5
811:811
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 5x 5x 5x 5 = 30000
Therefore, the value for common factors is 30000.
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 = 45910710000000/(1x30000)
LCM = 45910710000000/30000
LCM = 1530357000
Thus, we can understand that the LCM of 300,629,500,600,811 is 1530357000.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 300, 629, 500, 600, 811
1. What is the LCM of 300, 629, 500, 600, 811?
Answer: LCM of 300, 629, 500, 600, 811 is 1530357000.
2. How to calculate the LCM of 300, 629, 500, 600, 811?
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 300, 629, 500, 600, 811.
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}.