LCM of 26, 585, 416
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 26, 585, 416 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 26, 585, 416. So, keep reading to learn more.
Given numbers are 26,585,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 26,585,416 is 18720.
Find LCM of 26,585,416 with Prime Factorization
| 2 | 26, 585, 416 |
| 13 | 13, 585, 208 |
| 1, 45, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 1 x 45 x 16 = 18720
Therefore, the lowest common multiple of 26,585,416 is 18720.
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.
26 x 585 x 416 = 6327360
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.
26 : 1, 2, 13, 26
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 26,585,416, is 13.
Now, the common factors can be found like this.
26:2x 13
585:3x 3x 5x 13
416:2x 2x 2x 2x 2x 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 13 = 26
Therefore, the value for common factors is 26.
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 = 6327360/(13x26)
LCM = 6327360/338
LCM = 18720
Thus, we can understand that the LCM of 26,585,416 is 18720.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 26, 585, 416
1. What is the LCM of 26, 585, 416?
Answer: LCM of 26, 585, 416 is 18720.
2. How to calculate the LCM of 26, 585, 416?
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 26, 585, 416.
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}.