LCM of 170, 260, 858, 299
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 170, 260, 858, 299 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 170, 260, 858, 299. So, keep reading to learn more.
Given numbers are 170,260,858,299
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 170,260,858,299 is 3354780.
Find LCM of 170,260,858,299 with Prime Factorization
| 2 | 170, 260, 858, 299 |
| 5 | 85, 130, 429, 299 |
| 13 | 17, 26, 429, 299 |
| 17, 2, 33, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 17 x 2 x 33 x 23 = 3354780
Therefore, the lowest common multiple of 170,260,858,299 is 3354780.
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.
170 x 260 x 858 x 299 = 11339156400
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.
170 : 1, 2, 5, 10, 17, 34, 85, 170
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
299 : 1, 13, 23, 299
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 170,260,858,299, is 1.
Now, the common factors can be found like this.
170:2x 5x 17
260:2x 2x 5x 13
858:2x 3x 11x 13
299:13x 23
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 5x 13x 13 = 3380
Therefore, the value for common factors is 3380.
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 = 11339156400/(1x3380)
LCM = 11339156400/3380
LCM = 3354780
Thus, we can understand that the LCM of 170,260,858,299 is 3354780.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 170, 260, 858, 299
1. What is the LCM of 170, 260, 858, 299?
Answer: LCM of 170, 260, 858, 299 is 3354780.
2. How to calculate the LCM of 170, 260, 858, 299?
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 170, 260, 858, 299.
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}.