LCM of 563, 452, 900, 115, 452
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 563, 452, 900, 115, 452 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, 452, 900, 115, 452. So, keep reading to learn more.
Given numbers are 563,452,900,115,452
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 563,452,900,115,452 is 1316913300.
Find LCM of 563,452,900,115,452 with Prime Factorization
| 2 | 563, 452, 900, 115, 452 |
| 2 | 563, 226, 450, 115, 226 |
| 5 | 563, 113, 225, 115, 113 |
| 113 | 563, 113, 45, 23, 113 |
| 563, 1, 45, 23, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 113 x 563 x 1 x 45 x 23 x 1 = 1316913300
Therefore, the lowest common multiple of 563,452,900,115,452 is 1316913300.
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 452 x 900 x 115 x 452 = 11904896232000
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
452 : 1, 2, 4, 113, 226, 452
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
115 : 1, 5, 23, 115
452 : 1, 2, 4, 113, 226, 452
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 563,452,900,115,452, is 1.
Now, the common factors can be found like this.
563:563
452:2x 2x 113
900:2x 2x 3x 3x 5x 5
115:5x 23
452:2x 2x 113
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 5x 113 = 9040
Therefore, the value for common factors is 9040.
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 = 11904896232000/(1x9040)
LCM = 11904896232000/9040
LCM = 1316913300
Thus, we can understand that the LCM of 563,452,900,115,452 is 1316913300.
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FAQs on LCM of 563, 452, 900, 115, 452
1. What is the LCM of 563, 452, 900, 115, 452?
Answer: LCM of 563, 452, 900, 115, 452 is 1316913300.
2. How to calculate the LCM of 563, 452, 900, 115, 452?
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, 452, 900, 115, 452.
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}.