LCM of 633, 208, 874, 874, 592
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 633, 208, 874, 874, 592 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, 208, 874, 874, 592. So, keep reading to learn more.
Given numbers are 633,208,874,874,592
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 633,208,874,874,592 is 2128875216.
Find LCM of 633,208,874,874,592 with Prime Factorization
| 2 | 633, 208, 874, 874, 592 |
| 2 | 633, 104, 437, 437, 296 |
| 2 | 633, 52, 437, 437, 148 |
| 2 | 633, 26, 437, 437, 74 |
| 19 | 633, 13, 437, 437, 37 |
| 23 | 633, 13, 23, 23, 37 |
| 633, 13, 1, 1, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 19 x 23 x 633 x 13 x 1 x 1 x 37 = 2128875216
Therefore, the lowest common multiple of 633,208,874,874,592 is 2128875216.
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 208 x 874 x 874 x 592 = 59540382041088
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
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
874 : 1, 2, 19, 23, 38, 46, 437, 874
874 : 1, 2, 19, 23, 38, 46, 437, 874
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 633,208,874,874,592, is 1.
Now, the common factors can be found like this.
633:3x 211
208:2x 2x 2x 2x 13
874:2x 19x 23
874:2x 19x 23
592:2x 2x 2x 2x 37
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 2x 2x 2x 2x 19x 23 = 27968
Therefore, the value for common factors is 27968.
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 = 59540382041088/(1x27968)
LCM = 59540382041088/27968
LCM = 2128875216
Thus, we can understand that the LCM of 633,208,874,874,592 is 2128875216.
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FAQs on LCM of 633, 208, 874, 874, 592
1. What is the LCM of 633, 208, 874, 874, 592?
Answer: LCM of 633, 208, 874, 874, 592 is 2128875216.
2. How to calculate the LCM of 633, 208, 874, 874, 592?
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, 208, 874, 874, 592.
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}.