LCM of 286, 374, 867, 583, 858
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 286, 374, 867, 583, 858 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 286, 374, 867, 583, 858. So, keep reading to learn more.
Given numbers are 286,374,867,583,858
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 286,374,867,583,858 is 13141986.
Find LCM of 286,374,867,583,858 with Prime Factorization
| 2 | 286, 374, 867, 583, 858 |
| 3 | 143, 187, 867, 583, 429 |
| 11 | 143, 187, 289, 583, 143 |
| 13 | 13, 17, 289, 53, 13 |
| 17 | 1, 17, 289, 53, 1 |
| 1, 1, 17, 53, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 17 x 1 x 1 x 17 x 53 x 1 = 13141986
Therefore, the lowest common multiple of 286,374,867,583,858 is 13141986.
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.
286 x 374 x 867 x 583 x 858 = 46388739886632
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.
286 : 1, 2, 11, 13, 22, 26, 143, 286
374 : 1, 2, 11, 17, 22, 34, 187, 374
867 : 1, 3, 17, 51, 289, 867
583 : 1, 11, 53, 583
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 286,374,867,583,858, is 1.
Now, the common factors can be found like this.
286:2x 11x 13
374:2x 11x 17
867:3x 17x 17
583:11x 53
858:2x 3x 11x 13
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 11x 11x 11x 13x 17 = 3529812
Therefore, the value for common factors is 3529812.
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 = 46388739886632/(1x3529812)
LCM = 46388739886632/3529812
LCM = 13141986
Thus, we can understand that the LCM of 286,374,867,583,858 is 13141986.
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FAQs on LCM of 286, 374, 867, 583, 858
1. What is the LCM of 286, 374, 867, 583, 858?
Answer: LCM of 286, 374, 867, 583, 858 is 13141986.
2. How to calculate the LCM of 286, 374, 867, 583, 858?
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 286, 374, 867, 583, 858.
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}.