LCM of 159, 693, 486, 722, 538
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 159, 693, 486, 722, 538 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, 693, 486, 722, 538. So, keep reading to learn more.
Given numbers are 159,693,486,722,538
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 159,693,486,722,538 is 192602688894.
Find LCM of 159,693,486,722,538 with Prime Factorization
| 2 | 159, 693, 486, 722, 538 |
| 3 | 159, 693, 243, 361, 269 |
| 3 | 53, 231, 81, 361, 269 |
| 53, 77, 27, 361, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 53 x 77 x 27 x 361 x 269 = 192602688894
Therefore, the lowest common multiple of 159,693,486,722,538 is 192602688894.
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 693 x 486 x 722 x 538 = 20801090400552
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
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
722 : 1, 2, 19, 38, 361, 722
538 : 1, 2, 269, 538
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 159,693,486,722,538, is 1.
Now, the common factors can be found like this.
159:3x 53
693:3x 3x 7x 11
486:2x 3x 3x 3x 3x 3
722:2x 19x 19
538:2x 269
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 3 = 108
Therefore, the value for common factors is 108.
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 = 20801090400552/(1x108)
LCM = 20801090400552/108
LCM = 192602688894
Thus, we can understand that the LCM of 159,693,486,722,538 is 192602688894.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 159, 693, 486, 722, 538
1. What is the LCM of 159, 693, 486, 722, 538?
Answer: LCM of 159, 693, 486, 722, 538 is 192602688894.
2. How to calculate the LCM of 159, 693, 486, 722, 538?
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, 693, 486, 722, 538.
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}.