LCM of 563, 240, 866, 309, 912
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 563, 240, 866, 309, 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, 240, 866, 309, 912. So, keep reading to learn more.
Given numbers are 563,240,866,309,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 563,240,866,309,912 is 114498120720.
Find LCM of 563,240,866,309,912 with Prime Factorization
| 2 | 563, 240, 866, 309, 912 |
| 2 | 563, 120, 433, 309, 456 |
| 2 | 563, 60, 433, 309, 228 |
| 2 | 563, 30, 433, 309, 114 |
| 3 | 563, 15, 433, 309, 57 |
| 563, 5, 433, 103, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 563 x 5 x 433 x 103 x 19 = 114498120720
Therefore, the lowest common multiple of 563,240,866,309,912 is 114498120720.
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 240 x 866 x 309 x 912 = 32975458767360
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
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
866 : 1, 2, 433, 866
309 : 1, 3, 103, 309
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 563,240,866,309,912, is 1.
Now, the common factors can be found like this.
563:563
240:2x 2x 2x 2x 3x 5
866:2x 433
309:3x 103
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 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 32975458767360/(1x288)
LCM = 32975458767360/288
LCM = 114498120720
Thus, we can understand that the LCM of 563,240,866,309,912 is 114498120720.
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FAQs on LCM of 563, 240, 866, 309, 912
1. What is the LCM of 563, 240, 866, 309, 912?
Answer: LCM of 563, 240, 866, 309, 912 is 114498120720.
2. How to calculate the LCM of 563, 240, 866, 309, 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, 240, 866, 309, 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}.