LCM of 119, 216, 406, 408, 998
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 119, 216, 406, 408, 998 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 119, 216, 406, 408, 998. So, keep reading to learn more.
Given numbers are 119,216,406,408,998
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 119,216,406,408,998 is 371962584.
Find LCM of 119,216,406,408,998 with Prime Factorization
| 2 | 119, 216, 406, 408, 998 |
| 2 | 119, 108, 203, 204, 499 |
| 2 | 119, 54, 203, 102, 499 |
| 3 | 119, 27, 203, 51, 499 |
| 7 | 119, 9, 203, 17, 499 |
| 17 | 17, 9, 29, 17, 499 |
| 1, 9, 29, 1, 499 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 17 x 1 x 9 x 29 x 1 x 499 = 371962584
Therefore, the lowest common multiple of 119,216,406,408,998 is 371962584.
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.
119 x 216 x 406 x 408 x 998 = 4249300559616
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.
119 : 1, 7, 17, 119
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
406 : 1, 2, 7, 14, 29, 58, 203, 406
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
998 : 1, 2, 499, 998
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 119,216,406,408,998, is 1.
Now, the common factors can be found like this.
119:7x 17
216:2x 2x 2x 3x 3x 3
406:2x 7x 29
408:2x 2x 2x 3x 17
998:2x 499
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 2x 2x 2x 3x 7x 17 = 11424
Therefore, the value for common factors is 11424.
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 = 4249300559616/(1x11424)
LCM = 4249300559616/11424
LCM = 371962584
Thus, we can understand that the LCM of 119,216,406,408,998 is 371962584.
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FAQs on LCM of 119, 216, 406, 408, 998
1. What is the LCM of 119, 216, 406, 408, 998?
Answer: LCM of 119, 216, 406, 408, 998 is 371962584.
2. How to calculate the LCM of 119, 216, 406, 408, 998?
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 119, 216, 406, 408, 998.
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}.