LCM of 814, 621, 622, 603, 207
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 621, 622, 603, 207 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 814, 621, 622, 603, 207. So, keep reading to learn more.
Given numbers are 814,621,622,603,207
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,621,622,603,207 is 10532978478.
Find LCM of 814,621,622,603,207 with Prime Factorization
| 2 | 814, 621, 622, 603, 207 |
| 3 | 407, 621, 311, 603, 207 |
| 3 | 407, 69, 311, 201, 207 |
| 23 | 407, 23, 311, 67, 69 |
| 407, 1, 311, 67, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 23 x 407 x 1 x 311 x 67 x 3 = 10532978478
Therefore, the lowest common multiple of 814,621,622,603,207 is 10532978478.
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.
814 x 621 x 622 x 603 x 207 = 39245877809028
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
621 : 1, 3, 9, 23, 27, 69, 207, 621
622 : 1, 2, 311, 622
603 : 1, 3, 9, 67, 201, 603
207 : 1, 3, 9, 23, 69, 207
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,621,622,603,207, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
621:3x 3x 3x 23
622:2x 311
603:3x 3x 67
207:3x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 23 = 3726
Therefore, the value for common factors is 3726.
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 = 39245877809028/(1x3726)
LCM = 39245877809028/3726
LCM = 10532978478
Thus, we can understand that the LCM of 814,621,622,603,207 is 10532978478.
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FAQs on LCM of 814, 621, 622, 603, 207
1. What is the LCM of 814, 621, 622, 603, 207?
Answer: LCM of 814, 621, 622, 603, 207 is 10532978478.
2. How to calculate the LCM of 814, 621, 622, 603, 207?
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 814, 621, 622, 603, 207.
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}.