LCM of 622, 321, 697, 369, 909
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 622, 321, 697, 369, 909 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 622, 321, 697, 369, 909. So, keep reading to learn more.
Given numbers are 622,321,697,369,909
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 622,321,697,369,909 is 42166817442.
Find LCM of 622,321,697,369,909 with Prime Factorization
| 3 | 622, 321, 697, 369, 909 |
| 3 | 622, 107, 697, 123, 303 |
| 41 | 622, 107, 697, 41, 101 |
| 622, 107, 17, 1, 101 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 41 x 622 x 107 x 17 x 1 x 101 = 42166817442
Therefore, the lowest common multiple of 622,321,697,369,909 is 42166817442.
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.
622 x 321 x 697 x 369 x 909 = 46678666908294
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.
622 : 1, 2, 311, 622
321 : 1, 3, 107, 321
697 : 1, 17, 41, 697
369 : 1, 3, 9, 41, 123, 369
909 : 1, 3, 9, 101, 303, 909
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 622,321,697,369,909, is 1.
Now, the common factors can be found like this.
622:2x 311
321:3x 107
697:17x 41
369:3x 3x 41
909:3x 3x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 41 = 1107
Therefore, the value for common factors is 1107.
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 = 46678666908294/(1x1107)
LCM = 46678666908294/1107
LCM = 42166817442
Thus, we can understand that the LCM of 622,321,697,369,909 is 42166817442.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 622, 321, 697, 369, 909
1. What is the LCM of 622, 321, 697, 369, 909?
Answer: LCM of 622, 321, 697, 369, 909 is 42166817442.
2. How to calculate the LCM of 622, 321, 697, 369, 909?
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 622, 321, 697, 369, 909.
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}.