LCM of 159, 363, 786, 849, 693
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 159, 363, 786, 849, 693 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 159, 363, 786, 849, 693. So, keep reading to learn more.
Given numbers are 159,363,786,849,693
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 159,363,786,849,693 is 29956392774.
Find LCM of 159,363,786,849,693 with Prime Factorization
| 3 | 159, 363, 786, 849, 693 |
| 11 | 53, 121, 262, 283, 231 |
| 53, 11, 262, 283, 21 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 53 x 11 x 262 x 283 x 21 = 29956392774
Therefore, the lowest common multiple of 159,363,786,849,693 is 29956392774.
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.
159 x 363 x 786 x 849 x 693 = 26691145961634
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.
159 : 1, 3, 53, 159
363 : 1, 3, 11, 33, 121, 363
786 : 1, 2, 3, 6, 131, 262, 393, 786
849 : 1, 3, 283, 849
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 159,363,786,849,693, is 3.
Now, the common factors can be found like this.
159:3x 53
363:3x 11x 11
786:2x 3x 131
849:3x 283
693:3x 3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 11 = 297
Therefore, the value for common factors is 297.
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 = 26691145961634/(3x297)
LCM = 26691145961634/891
LCM = 29956392774
Thus, we can understand that the LCM of 159,363,786,849,693 is 29956392774.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 159, 363, 786, 849, 693
1. What is the LCM of 159, 363, 786, 849, 693?
Answer: LCM of 159, 363, 786, 849, 693 is 29956392774.
2. How to calculate the LCM of 159, 363, 786, 849, 693?
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 159, 363, 786, 849, 693.
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}.