LCM of 105, 518, 578, 273, 407
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 105, 518, 578, 273, 407 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 105, 518, 578, 273, 407. So, keep reading to learn more.
Given numbers are 105,518,578,273,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,518,578,273,407 is 321110790.
Find LCM of 105,518,578,273,407 with Prime Factorization
| 2 | 105, 518, 578, 273, 407 |
| 3 | 105, 259, 289, 273, 407 |
| 7 | 35, 259, 289, 91, 407 |
| 37 | 5, 37, 289, 13, 407 |
| 5, 1, 289, 13, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 37 x 5 x 1 x 289 x 13 x 11 = 321110790
Therefore, the lowest common multiple of 105,518,578,273,407 is 321110790.
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.
105 x 518 x 578 x 273 x 407 = 3493043173620
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
518 : 1, 2, 7, 14, 37, 74, 259, 518
578 : 1, 2, 17, 34, 289, 578
273 : 1, 3, 7, 13, 21, 39, 91, 273
407 : 1, 11, 37, 407
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,518,578,273,407, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
518:2x 7x 37
578:2x 17x 17
273:3x 7x 13
407:11x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 7x 37 = 10878
Therefore, the value for common factors is 10878.
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 = 3493043173620/(1x10878)
LCM = 3493043173620/10878
LCM = 321110790
Thus, we can understand that the LCM of 105,518,578,273,407 is 321110790.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 105, 518, 578, 273, 407
1. What is the LCM of 105, 518, 578, 273, 407?
Answer: LCM of 105, 518, 578, 273, 407 is 321110790.
2. How to calculate the LCM of 105, 518, 578, 273, 407?
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 105, 518, 578, 273, 407.
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}.