LCM of 872, 328, 480, 901, 795
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 872, 328, 480, 901, 795 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 872, 328, 480, 901, 795. So, keep reading to learn more.
Given numbers are 872,328,480,901,795
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 872,328,480,901,795 is 1932753120.
Find LCM of 872,328,480,901,795 with Prime Factorization
| 2 | 872, 328, 480, 901, 795 |
| 2 | 436, 164, 240, 901, 795 |
| 2 | 218, 82, 120, 901, 795 |
| 3 | 109, 41, 60, 901, 795 |
| 5 | 109, 41, 20, 901, 265 |
| 53 | 109, 41, 4, 901, 53 |
| 109, 41, 4, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 53 x 109 x 41 x 4 x 17 x 1 = 1932753120
Therefore, the lowest common multiple of 872,328,480,901,795 is 1932753120.
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.
872 x 328 x 480 x 901 x 795 = 98338478745600
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.
872 : 1, 2, 4, 8, 109, 218, 436, 872
328 : 1, 2, 4, 8, 41, 82, 164, 328
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
901 : 1, 17, 53, 901
795 : 1, 3, 5, 15, 53, 159, 265, 795
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,328,480,901,795, is 1.
Now, the common factors can be found like this.
872:2x 2x 2x 109
328:2x 2x 2x 41
480:2x 2x 2x 2x 2x 3x 5
901:17x 53
795:3x 5x 53
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 2x 2x 2x 3x 5x 53 = 50880
Therefore, the value for common factors is 50880.
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 = 98338478745600/(1x50880)
LCM = 98338478745600/50880
LCM = 1932753120
Thus, we can understand that the LCM of 872,328,480,901,795 is 1932753120.
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FAQs on LCM of 872, 328, 480, 901, 795
1. What is the LCM of 872, 328, 480, 901, 795?
Answer: LCM of 872, 328, 480, 901, 795 is 1932753120.
2. How to calculate the LCM of 872, 328, 480, 901, 795?
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 872, 328, 480, 901, 795.
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}.