LCM of 110, 416, 759, 575, 218
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 110, 416, 759, 575, 218 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 110, 416, 759, 575, 218. So, keep reading to learn more.
Given numbers are 110,416,759,575,218
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 110,416,759,575,218 is 860402400.
Find LCM of 110,416,759,575,218 with Prime Factorization
| 2 | 110, 416, 759, 575, 218 |
| 5 | 55, 208, 759, 575, 109 |
| 11 | 11, 208, 759, 115, 109 |
| 23 | 1, 208, 69, 115, 109 |
| 1, 208, 3, 5, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 23 x 1 x 208 x 3 x 5 x 109 = 860402400
Therefore, the lowest common multiple of 110,416,759,575,218 is 860402400.
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.
110 x 416 x 759 x 575 x 218 = 4353636144000
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.
110 : 1, 2, 5, 10, 11, 22, 55, 110
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
759 : 1, 3, 11, 23, 33, 69, 253, 759
575 : 1, 5, 23, 25, 115, 575
218 : 1, 2, 109, 218
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 110,416,759,575,218, is 1.
Now, the common factors can be found like this.
110:2x 5x 11
416:2x 2x 2x 2x 2x 13
759:3x 11x 23
575:5x 5x 23
218:2x 109
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 11x 23 = 5060
Therefore, the value for common factors is 5060.
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 = 4353636144000/(1x5060)
LCM = 4353636144000/5060
LCM = 860402400
Thus, we can understand that the LCM of 110,416,759,575,218 is 860402400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 110, 416, 759, 575, 218
1. What is the LCM of 110, 416, 759, 575, 218?
Answer: LCM of 110, 416, 759, 575, 218 is 860402400.
2. How to calculate the LCM of 110, 416, 759, 575, 218?
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 110, 416, 759, 575, 218.
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}.