LCM of 810, 648, 300, 888
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 810, 648, 300, 888 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 810, 648, 300, 888. So, keep reading to learn more.
Given numbers are 810,648,300,888
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 810,648,300,888 is 599400.
Find LCM of 810,648,300,888 with Prime Factorization
| 2 | 810, 648, 300, 888 |
| 2 | 405, 324, 150, 444 |
| 2 | 405, 162, 75, 222 |
| 3 | 405, 81, 75, 111 |
| 3 | 135, 27, 25, 37 |
| 3 | 45, 9, 25, 37 |
| 3 | 15, 3, 25, 37 |
| 5 | 5, 1, 25, 37 |
| 1, 1, 5, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 1 x 1 x 5 x 37 = 599400
Therefore, the lowest common multiple of 810,648,300,888 is 599400.
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.
810 x 648 x 300 x 888 = 139828032000
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.
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,648,300,888, is 6.
Now, the common factors can be found like this.
810:2x 3x 3x 3x 3x 5
648:2x 2x 2x 3x 3x 3x 3
300:2x 2x 3x 5x 5
888:2x 2x 2x 3x 37
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 3x 3x 3x 3x 3x 5 = 38880
Therefore, the value for common factors is 38880.
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 = 139828032000/(6x38880)
LCM = 139828032000/233280
LCM = 599400
Thus, we can understand that the LCM of 810,648,300,888 is 599400.
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FAQs on LCM of 810, 648, 300, 888
1. What is the LCM of 810, 648, 300, 888?
Answer: LCM of 810, 648, 300, 888 is 599400.
2. How to calculate the LCM of 810, 648, 300, 888?
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 810, 648, 300, 888.
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}.