LCM of 900, 363, 216, 889
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 900, 363, 216, 889 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 900, 363, 216, 889. So, keep reading to learn more.
Given numbers are 900,363,216,889
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 900,363,216,889 is 580872600.
Find LCM of 900,363,216,889 with Prime Factorization
| 2 | 900, 363, 216, 889 |
| 2 | 450, 363, 108, 889 |
| 3 | 225, 363, 54, 889 |
| 3 | 75, 121, 18, 889 |
| 25, 121, 6, 889 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 25 x 121 x 6 x 889 = 580872600
Therefore, the lowest common multiple of 900,363,216,889 is 580872600.
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.
900 x 363 x 216 x 889 = 62734240800
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.
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
363 : 1, 3, 11, 33, 121, 363
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
889 : 1, 7, 127, 889
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,363,216,889, is 1.
Now, the common factors can be found like this.
900:2x 2x 3x 3x 5x 5
363:3x 11x 11
216:2x 2x 2x 3x 3x 3
889:7x 127
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 62734240800/(1x108)
LCM = 62734240800/108
LCM = 580872600
Thus, we can understand that the LCM of 900,363,216,889 is 580872600.
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FAQs on LCM of 900, 363, 216, 889
1. What is the LCM of 900, 363, 216, 889?
Answer: LCM of 900, 363, 216, 889 is 580872600.
2. How to calculate the LCM of 900, 363, 216, 889?
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 900, 363, 216, 889.
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}.