Find the LCM of 798, 351, 897, 867, 336 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 798, 351, 897, 867, 336. So, keep reading to learn more.
Given numbers are 798,351,897,867,336
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 798,351,897,867,336 is 4964830416.
Find LCM of 798,351,897,867,336 with Prime Factorization
2 | 798, 351, 897, 867, 336 |
3 | 399, 351, 897, 867, 168 |
7 | 133, 117, 299, 289, 56 |
13 | 19, 117, 299, 289, 8 |
19, 9, 23, 289, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 19 x 9 x 23 x 289 x 8 = 4964830416
Therefore, the lowest common multiple of 798,351,897,867,336 is 4964830416.
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.
798 x 351 x 897 x 867 x 336 = 73191529992672
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.
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
351 : 1, 3, 9, 13, 27, 39, 117, 351
897 : 1, 3, 13, 23, 39, 69, 299, 897
867 : 1, 3, 17, 51, 289, 867
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,351,897,867,336, is 3.
Now, the common factors can be found like this.
798:2x 3x 7x 19
351:3x 3x 3x 13
897:3x 13x 23
867:3x 17x 17
336:2x 2x 2x 2x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 7x 13 = 4914
Therefore, the value for common factors is 4914.
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 = 73191529992672/(3x4914)
LCM = 73191529992672/14742
LCM = 4964830416
Thus, we can understand that the LCM of 798,351,897,867,336 is 4964830416.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 798, 351, 897, 867, 336?
Answer: LCM of 798, 351, 897, 867, 336 is 4964830416.
2. How to calculate the LCM of 798, 351, 897, 867, 336?
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 798, 351, 897, 867, 336.
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}.