LCM of 395, 808, 840, 495
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 395, 808, 840, 495 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 395, 808, 840, 495. So, keep reading to learn more.
Given numbers are 395,808,840,495
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 395,808,840,495 is 221177880.
Find LCM of 395,808,840,495 with Prime Factorization
| 2 | 395, 808, 840, 495 |
| 2 | 395, 404, 420, 495 |
| 2 | 395, 202, 210, 495 |
| 3 | 395, 101, 105, 495 |
| 5 | 395, 101, 35, 165 |
| 79, 101, 7, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 79 x 101 x 7 x 33 = 221177880
Therefore, the lowest common multiple of 395,808,840,495 is 221177880.
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.
395 x 808 x 840 x 495 = 132706728000
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.
395 : 1, 5, 79, 395
808 : 1, 2, 4, 8, 101, 202, 404, 808
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,808,840,495, is 1.
Now, the common factors can be found like this.
395:5x 79
808:2x 2x 2x 101
840:2x 2x 2x 3x 5x 7
495:3x 3x 5x 11
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 3x 5x 5 = 600
Therefore, the value for common factors is 600.
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 = 132706728000/(1x600)
LCM = 132706728000/600
LCM = 221177880
Thus, we can understand that the LCM of 395,808,840,495 is 221177880.
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FAQs on LCM of 395, 808, 840, 495
1. What is the LCM of 395, 808, 840, 495?
Answer: LCM of 395, 808, 840, 495 is 221177880.
2. How to calculate the LCM of 395, 808, 840, 495?
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 395, 808, 840, 495.
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}.