LCM of 809, 855, 330, 630, 358
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 809, 855, 330, 630, 358 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 809, 855, 330, 630, 358. So, keep reading to learn more.
Given numbers are 809,855,330,630,358
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 809,855,330,630,358 is 19067264370.
Find LCM of 809,855,330,630,358 with Prime Factorization
| 2 | 809, 855, 330, 630, 358 |
| 3 | 809, 855, 165, 315, 179 |
| 3 | 809, 285, 55, 105, 179 |
| 5 | 809, 95, 55, 35, 179 |
| 809, 19, 11, 7, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 809 x 19 x 11 x 7 x 179 = 19067264370
Therefore, the lowest common multiple of 809,855,330,630,358 is 19067264370.
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.
809 x 855 x 330 x 630 x 358 = 51481613799000
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.
809 : 1, 809
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
358 : 1, 2, 179, 358
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 809,855,330,630,358, is 1.
Now, the common factors can be found like this.
809:809
855:3x 3x 5x 19
330:2x 3x 5x 11
630:2x 3x 3x 5x 7
358:2x 179
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 3x 3x 3x 5x 5 = 2700
Therefore, the value for common factors is 2700.
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 = 51481613799000/(1x2700)
LCM = 51481613799000/2700
LCM = 19067264370
Thus, we can understand that the LCM of 809,855,330,630,358 is 19067264370.
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FAQs on LCM of 809, 855, 330, 630, 358
1. What is the LCM of 809, 855, 330, 630, 358?
Answer: LCM of 809, 855, 330, 630, 358 is 19067264370.
2. How to calculate the LCM of 809, 855, 330, 630, 358?
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 809, 855, 330, 630, 358.
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}.