LCM of 563, 800, 860, 912
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 563, 800, 860, 912 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 563, 800, 860, 912. So, keep reading to learn more.
Given numbers are 563,800,860,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 563,800,860,912 is 1103930400.
Find LCM of 563,800,860,912 with Prime Factorization
| 2 | 563, 800, 860, 912 |
| 2 | 563, 400, 430, 456 |
| 2 | 563, 200, 215, 228 |
| 2 | 563, 100, 215, 114 |
| 5 | 563, 50, 215, 57 |
| 563, 10, 43, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 563 x 10 x 43 x 57 = 1103930400
Therefore, the lowest common multiple of 563,800,860,912 is 1103930400.
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.
563 x 800 x 860 x 912 = 353257728000
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.
563 : 1, 563
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 563,800,860,912, is 1.
Now, the common factors can be found like this.
563:563
800:2x 2x 2x 2x 2x 5x 5
860:2x 2x 5x 43
912:2x 2x 2x 2x 3x 19
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 2x 5 = 320
Therefore, the value for common factors is 320.
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 = 353257728000/(1x320)
LCM = 353257728000/320
LCM = 1103930400
Thus, we can understand that the LCM of 563,800,860,912 is 1103930400.
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FAQs on LCM of 563, 800, 860, 912
1. What is the LCM of 563, 800, 860, 912?
Answer: LCM of 563, 800, 860, 912 is 1103930400.
2. How to calculate the LCM of 563, 800, 860, 912?
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 563, 800, 860, 912.
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}.