LCM of 311, 806, 432, 159, 594
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 311, 806, 432, 159, 594 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 311, 806, 432, 159, 594. So, keep reading to learn more.
Given numbers are 311,806,432,159,594
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 311,806,432,159,594 is 31565868048.
Find LCM of 311,806,432,159,594 with Prime Factorization
| 2 | 311, 806, 432, 159, 594 |
| 3 | 311, 403, 216, 159, 297 |
| 3 | 311, 403, 72, 53, 99 |
| 3 | 311, 403, 24, 53, 33 |
| 311, 403, 8, 53, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 311 x 403 x 8 x 53 x 11 = 31565868048
Therefore, the lowest common multiple of 311,806,432,159,594 is 31565868048.
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.
311 x 806 x 432 x 159 x 594 = 10227341247552
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.
311 : 1, 311
806 : 1, 2, 13, 26, 31, 62, 403, 806
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
159 : 1, 3, 53, 159
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,806,432,159,594, is 1.
Now, the common factors can be found like this.
311:311
806:2x 13x 31
432:2x 2x 2x 2x 3x 3x 3
159:3x 53
594:2x 3x 3x 3x 11
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 3x 3x 3 = 324
Therefore, the value for common factors is 324.
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 = 10227341247552/(1x324)
LCM = 10227341247552/324
LCM = 31565868048
Thus, we can understand that the LCM of 311,806,432,159,594 is 31565868048.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 311, 806, 432, 159, 594
1. What is the LCM of 311, 806, 432, 159, 594?
Answer: LCM of 311, 806, 432, 159, 594 is 31565868048.
2. How to calculate the LCM of 311, 806, 432, 159, 594?
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 311, 806, 432, 159, 594.
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}.