LCM of 513, 693, 741, 642, 369
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 693, 741, 642, 369 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 513, 693, 741, 642, 369. So, keep reading to learn more.
Given numbers are 513,693,741,642,369
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,693,741,642,369 is 4505563062.
Find LCM of 513,693,741,642,369 with Prime Factorization
| 3 | 513, 693, 741, 642, 369 |
| 3 | 171, 231, 247, 214, 123 |
| 19 | 57, 77, 247, 214, 41 |
| 3, 77, 13, 214, 41 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 19 x 3 x 77 x 13 x 214 x 41 = 4505563062
Therefore, the lowest common multiple of 513,693,741,642,369 is 4505563062.
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.
513 x 693 x 741 x 642 x 369 = 62406553971762
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
741 : 1, 3, 13, 19, 39, 57, 247, 741
642 : 1, 2, 3, 6, 107, 214, 321, 642
369 : 1, 3, 9, 41, 123, 369
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,693,741,642,369, is 3.
Now, the common factors can be found like this.
513:3x 3x 3x 19
693:3x 3x 7x 11
741:3x 13x 19
642:2x 3x 107
369:3x 3x 41
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 3x 3x 19 = 4617
Therefore, the value for common factors is 4617.
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 = 62406553971762/(3x4617)
LCM = 62406553971762/13851
LCM = 4505563062
Thus, we can understand that the LCM of 513,693,741,642,369 is 4505563062.
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FAQs on LCM of 513, 693, 741, 642, 369
1. What is the LCM of 513, 693, 741, 642, 369?
Answer: LCM of 513, 693, 741, 642, 369 is 4505563062.
2. How to calculate the LCM of 513, 693, 741, 642, 369?
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 513, 693, 741, 642, 369.
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}.