LCM of 633, 819, 117, 323, 659
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 633, 819, 117, 323, 659 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 633, 819, 117, 323, 659. So, keep reading to learn more.
Given numbers are 633,819,117,323,659
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 633,819,117,323,659 is 36783605313.
Find LCM of 633,819,117,323,659 with Prime Factorization
| 3 | 633, 819, 117, 323, 659 |
| 3 | 211, 273, 39, 323, 659 |
| 13 | 211, 91, 13, 323, 659 |
| 211, 7, 1, 323, 659 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 13 x 211 x 7 x 1 x 323 x 659 = 36783605313
Therefore, the lowest common multiple of 633,819,117,323,659 is 36783605313.
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.
633 x 819 x 117 x 323 x 659 = 12911045464863
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.
633 : 1, 3, 211, 633
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
117 : 1, 3, 9, 13, 39, 117
323 : 1, 17, 19, 323
659 : 1, 659
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 633,819,117,323,659, is 1.
Now, the common factors can be found like this.
633:3x 211
819:3x 3x 7x 13
117:3x 3x 13
323:17x 19
659:659
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 13 = 351
Therefore, the value for common factors is 351.
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 = 12911045464863/(1x351)
LCM = 12911045464863/351
LCM = 36783605313
Thus, we can understand that the LCM of 633,819,117,323,659 is 36783605313.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 633, 819, 117, 323, 659
1. What is the LCM of 633, 819, 117, 323, 659?
Answer: LCM of 633, 819, 117, 323, 659 is 36783605313.
2. How to calculate the LCM of 633, 819, 117, 323, 659?
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 633, 819, 117, 323, 659.
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}.