LCM of 286, 742, 858, 861
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 286, 742, 858, 861 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, 742, 858, 861. So, keep reading to learn more.
Given numbers are 286,742,858,861
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 286,742,858,861 is 13051038.
Find LCM of 286,742,858,861 with Prime Factorization
| 2 | 286, 742, 858, 861 |
| 3 | 143, 371, 429, 861 |
| 7 | 143, 371, 143, 287 |
| 11 | 143, 53, 143, 41 |
| 13 | 13, 53, 13, 41 |
| 1, 53, 1, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 13 x 1 x 53 x 1 x 41 = 13051038
Therefore, the lowest common multiple of 286,742,858,861 is 13051038.
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 742 x 858 x 861 = 156769068456
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
742 : 1, 2, 7, 14, 53, 106, 371, 742
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
861 : 1, 3, 7, 21, 41, 123, 287, 861
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 286,742,858,861, is 1.
Now, the common factors can be found like this.
286:2x 11x 13
742:2x 7x 53
858:2x 3x 11x 13
861:3x 7x 41
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 7x 11x 13 = 12012
Therefore, the value for common factors is 12012.
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 = 156769068456/(1x12012)
LCM = 156769068456/12012
LCM = 13051038
Thus, we can understand that the LCM of 286,742,858,861 is 13051038.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 286, 742, 858, 861
1. What is the LCM of 286, 742, 858, 861?
Answer: LCM of 286, 742, 858, 861 is 13051038.
2. How to calculate the LCM of 286, 742, 858, 861?
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, 742, 858, 861.
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}.