LCM of 604, 451, 820, 205
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 604, 451, 820, 205 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 604, 451, 820, 205. So, keep reading to learn more.
Given numbers are 604,451,820,205
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 604,451,820,205 is 1362020.
Find LCM of 604,451,820,205 with Prime Factorization
| 2 | 604, 451, 820, 205 |
| 2 | 302, 451, 410, 205 |
| 5 | 151, 451, 205, 205 |
| 41 | 151, 451, 41, 41 |
| 151, 11, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 41 x 151 x 11 x 1 x 1 = 1362020
Therefore, the lowest common multiple of 604,451,820,205 is 1362020.
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.
604 x 451 x 820 x 205 = 45791112400
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.
604 : 1, 2, 4, 151, 302, 604
451 : 1, 11, 41, 451
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
205 : 1, 5, 41, 205
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 604,451,820,205, is 1.
Now, the common factors can be found like this.
604:2x 2x 151
451:11x 41
820:2x 2x 5x 41
205:5x 41
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 5x 41x 41 = 33620
Therefore, the value for common factors is 33620.
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 = 45791112400/(1x33620)
LCM = 45791112400/33620
LCM = 1362020
Thus, we can understand that the LCM of 604,451,820,205 is 1362020.
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FAQs on LCM of 604, 451, 820, 205
1. What is the LCM of 604, 451, 820, 205?
Answer: LCM of 604, 451, 820, 205 is 1362020.
2. How to calculate the LCM of 604, 451, 820, 205?
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 604, 451, 820, 205.
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}.