LCM of 858, 795, 462, 485, 586
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 858, 795, 462, 485, 586 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, 795, 462, 485, 586. So, keep reading to learn more.
Given numbers are 858,795,462,485,586
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,795,462,485,586 is 45234579390.
Find LCM of 858,795,462,485,586 with Prime Factorization
| 2 | 858, 795, 462, 485, 586 |
| 3 | 429, 795, 231, 485, 293 |
| 5 | 143, 265, 77, 485, 293 |
| 11 | 143, 53, 77, 97, 293 |
| 13, 53, 7, 97, 293 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 13 x 53 x 7 x 97 x 293 = 45234579390
Therefore, the lowest common multiple of 858,795,462,485,586 is 45234579390.
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 795 x 462 x 485 x 586 = 89564467192200
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
795 : 1, 3, 5, 15, 53, 159, 265, 795
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
485 : 1, 5, 97, 485
586 : 1, 2, 293, 586
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,795,462,485,586, is 1.
Now, the common factors can be found like this.
858:2x 3x 11x 13
795:3x 5x 53
462:2x 3x 7x 11
485:5x 97
586:2x 293
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 3x 5x 11 = 1980
Therefore, the value for common factors is 1980.
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 = 89564467192200/(1x1980)
LCM = 89564467192200/1980
LCM = 45234579390
Thus, we can understand that the LCM of 858,795,462,485,586 is 45234579390.
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FAQs on LCM of 858, 795, 462, 485, 586
1. What is the LCM of 858, 795, 462, 485, 586?
Answer: LCM of 858, 795, 462, 485, 586 is 45234579390.
2. How to calculate the LCM of 858, 795, 462, 485, 586?
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, 795, 462, 485, 586.
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}.