LCM of 684, 396, 633, 573
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 684, 396, 633, 573 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 684, 396, 633, 573. So, keep reading to learn more.
Given numbers are 684,396,633,573
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,396,633,573 is 303224724.
Find LCM of 684,396,633,573 with Prime Factorization
| 2 | 684, 396, 633, 573 |
| 2 | 342, 198, 633, 573 |
| 3 | 171, 99, 633, 573 |
| 3 | 57, 33, 211, 191 |
| 19, 11, 211, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 19 x 11 x 211 x 191 = 303224724
Therefore, the lowest common multiple of 684,396,633,573 is 303224724.
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.
684 x 396 x 633 x 573 = 98244810576
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.
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
633 : 1, 3, 211, 633
573 : 1, 3, 191, 573
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,396,633,573, is 3.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
396:2x 2x 3x 3x 11
633:3x 211
573:3x 191
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 = 98244810576/(3x108)
LCM = 98244810576/324
LCM = 303224724
Thus, we can understand that the LCM of 684,396,633,573 is 303224724.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 684, 396, 633, 573
1. What is the LCM of 684, 396, 633, 573?
Answer: LCM of 684, 396, 633, 573 is 303224724.
2. How to calculate the LCM of 684, 396, 633, 573?
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 684, 396, 633, 573.
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}.