LCM of 154, 981, 329, 286, 819
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 154, 981, 329, 286, 819 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 154, 981, 329, 286, 819. So, keep reading to learn more.
Given numbers are 154,981,329,286,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 154,981,329,286,819 is 92306214.
Find LCM of 154,981,329,286,819 with Prime Factorization
| 2 | 154, 981, 329, 286, 819 |
| 3 | 77, 981, 329, 143, 819 |
| 3 | 77, 327, 329, 143, 273 |
| 7 | 77, 109, 329, 143, 91 |
| 11 | 11, 109, 47, 143, 13 |
| 13 | 1, 109, 47, 13, 13 |
| 1, 109, 47, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 11 x 13 x 1 x 109 x 47 x 1 x 1 = 92306214
Therefore, the lowest common multiple of 154,981,329,286,819 is 92306214.
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.
154 x 981 x 329 x 286 x 819 = 11642213546964
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.
154 : 1, 2, 7, 11, 14, 22, 77, 154
981 : 1, 3, 9, 109, 327, 981
329 : 1, 7, 47, 329
286 : 1, 2, 11, 13, 22, 26, 143, 286
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 154,981,329,286,819, is 1.
Now, the common factors can be found like this.
154:2x 7x 11
981:3x 3x 109
329:7x 47
286:2x 11x 13
819:3x 3x 7x 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 3x 3x 7x 7x 11x 13 = 126126
Therefore, the value for common factors is 126126.
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 = 11642213546964/(1x126126)
LCM = 11642213546964/126126
LCM = 92306214
Thus, we can understand that the LCM of 154,981,329,286,819 is 92306214.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 154, 981, 329, 286, 819
1. What is the LCM of 154, 981, 329, 286, 819?
Answer: LCM of 154, 981, 329, 286, 819 is 92306214.
2. How to calculate the LCM of 154, 981, 329, 286, 819?
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 154, 981, 329, 286, 819.
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}.