Find the LCM of 473, 832, 280, 396, 851 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 473, 832, 280, 396, 851. So, keep reading to learn more.
Given numbers are 473,832,280,396,851
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 473,832,280,396,851 is 105493227840.
Find LCM of 473,832,280,396,851 with Prime Factorization
2 | 473, 832, 280, 396, 851 |
2 | 473, 416, 140, 198, 851 |
2 | 473, 208, 70, 99, 851 |
11 | 473, 104, 35, 99, 851 |
43, 104, 35, 9, 851 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 43 x 104 x 35 x 9 x 851 = 105493227840
Therefore, the lowest common multiple of 473,832,280,396,851 is 105493227840.
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.
473 x 832 x 280 x 396 x 851 = 37133616199680
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.
473 : 1, 11, 43, 473
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
851 : 1, 23, 37, 851
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,832,280,396,851, is 1.
Now, the common factors can be found like this.
473:11x 43
832:2x 2x 2x 2x 2x 2x 13
280:2x 2x 2x 5x 7
396:2x 2x 3x 3x 11
851:23x 37
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 11 = 352
Therefore, the value for common factors is 352.
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 = 37133616199680/(1x352)
LCM = 37133616199680/352
LCM = 105493227840
Thus, we can understand that the LCM of 473,832,280,396,851 is 105493227840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 473, 832, 280, 396, 851?
Answer: LCM of 473, 832, 280, 396, 851 is 105493227840.
2. How to calculate the LCM of 473, 832, 280, 396, 851?
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 473, 832, 280, 396, 851.
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}.