LCM of 350, 891, 231, 214, 290
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 350, 891, 231, 214, 290 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 350, 891, 231, 214, 290. So, keep reading to learn more.
Given numbers are 350,891,231,214,290
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 350,891,231,214,290 is 967670550.
Find LCM of 350,891,231,214,290 with Prime Factorization
| 2 | 350, 891, 231, 214, 290 |
| 3 | 175, 891, 231, 107, 145 |
| 5 | 175, 297, 77, 107, 145 |
| 7 | 35, 297, 77, 107, 29 |
| 11 | 5, 297, 11, 107, 29 |
| 5, 27, 1, 107, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 11 x 5 x 27 x 1 x 107 x 29 = 967670550
Therefore, the lowest common multiple of 350,891,231,214,290 is 967670550.
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.
350 x 891 x 231 x 214 x 290 = 4470637941000
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.
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
231 : 1, 3, 7, 11, 21, 33, 77, 231
214 : 1, 2, 107, 214
290 : 1, 2, 5, 10, 29, 58, 145, 290
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 350,891,231,214,290, is 1.
Now, the common factors can be found like this.
350:2x 5x 5x 7
891:3x 3x 3x 3x 11
231:3x 7x 11
214:2x 107
290:2x 5x 29
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 5x 7x 11 = 4620
Therefore, the value for common factors is 4620.
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 = 4470637941000/(1x4620)
LCM = 4470637941000/4620
LCM = 967670550
Thus, we can understand that the LCM of 350,891,231,214,290 is 967670550.
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FAQs on LCM of 350, 891, 231, 214, 290
1. What is the LCM of 350, 891, 231, 214, 290?
Answer: LCM of 350, 891, 231, 214, 290 is 967670550.
2. How to calculate the LCM of 350, 891, 231, 214, 290?
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 350, 891, 231, 214, 290.
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}.