LCM of 858, 713, 351, 729, 919
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 858, 713, 351, 729, 919 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 858, 713, 351, 729, 919. So, keep reading to learn more.
Given numbers are 858,713,351,729,919
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,713,351,729,919 is 136615068018.
Find LCM of 858,713,351,729,919 with Prime Factorization
| 3 | 858, 713, 351, 729, 919 |
| 3 | 286, 713, 117, 243, 919 |
| 3 | 286, 713, 39, 81, 919 |
| 13 | 286, 713, 13, 27, 919 |
| 22, 713, 1, 27, 919 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 13 x 22 x 713 x 1 x 27 x 919 = 136615068018
Therefore, the lowest common multiple of 858,713,351,729,919 is 136615068018.
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.
858 x 713 x 351 x 729 x 919 = 143855666622954
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.
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
713 : 1, 23, 31, 713
351 : 1, 3, 9, 13, 27, 39, 117, 351
729 : 1, 3, 9, 27, 81, 243, 729
919 : 1, 919
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,713,351,729,919, is 1.
Now, the common factors can be found like this.
858:2x 3x 11x 13
713:23x 31
351:3x 3x 3x 13
729:3x 3x 3x 3x 3x 3
919:919
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 13 = 1053
Therefore, the value for common factors is 1053.
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 = 143855666622954/(1x1053)
LCM = 143855666622954/1053
LCM = 136615068018
Thus, we can understand that the LCM of 858,713,351,729,919 is 136615068018.
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FAQs on LCM of 858, 713, 351, 729, 919
1. What is the LCM of 858, 713, 351, 729, 919?
Answer: LCM of 858, 713, 351, 729, 919 is 136615068018.
2. How to calculate the LCM of 858, 713, 351, 729, 919?
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 858, 713, 351, 729, 919.
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}.