LCM of 286, 135, 789, 869, 858
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 286, 135, 789, 869, 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, 135, 789, 869, 858. So, keep reading to learn more.
Given numbers are 286,135,789,869,858
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 286,135,789,869,858 is 802199970.
Find LCM of 286,135,789,869,858 with Prime Factorization
| 2 | 286, 135, 789, 869, 858 |
| 3 | 143, 135, 789, 869, 429 |
| 11 | 143, 45, 263, 869, 143 |
| 13 | 13, 45, 263, 79, 13 |
| 1, 45, 263, 79, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 1 x 45 x 263 x 79 x 1 = 802199970
Therefore, the lowest common multiple of 286,135,789,869,858 is 802199970.
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 135 x 789 x 869 x 858 = 22713489950580
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
135 : 1, 3, 5, 9, 15, 27, 45, 135
789 : 1, 3, 263, 789
869 : 1, 11, 79, 869
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 286,135,789,869,858, is 1.
Now, the common factors can be found like this.
286:2x 11x 13
135:3x 3x 3x 5
789:3x 263
869:11x 79
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 3x 3x 11x 11x 13 = 28314
Therefore, the value for common factors is 28314.
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 = 22713489950580/(1x28314)
LCM = 22713489950580/28314
LCM = 802199970
Thus, we can understand that the LCM of 286,135,789,869,858 is 802199970.
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FAQs on LCM of 286, 135, 789, 869, 858
1. What is the LCM of 286, 135, 789, 869, 858?
Answer: LCM of 286, 135, 789, 869, 858 is 802199970.
2. How to calculate the LCM of 286, 135, 789, 869, 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, 135, 789, 869, 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}.