LCM of 564, 717, 828, 851
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 564, 717, 828, 851 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 564, 717, 828, 851. So, keep reading to learn more.
Given numbers are 564,717,828,851
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 564,717,828,851 is 344134188.
Find LCM of 564,717,828,851 with Prime Factorization
| 2 | 564, 717, 828, 851 |
| 2 | 282, 717, 414, 851 |
| 3 | 141, 717, 207, 851 |
| 23 | 47, 239, 69, 851 |
| 47, 239, 3, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 47 x 239 x 3 x 37 = 344134188
Therefore, the lowest common multiple of 564,717,828,851 is 344134188.
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.
564 x 717 x 828 x 851 = 284943107664
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.
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
717 : 1, 3, 239, 717
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
851 : 1, 23, 37, 851
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,717,828,851, is 1.
Now, the common factors can be found like this.
564:2x 2x 3x 47
717:3x 239
828:2x 2x 3x 3x 23
851:23x 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 3x 3x 23 = 828
Therefore, the value for common factors is 828.
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 = 284943107664/(1x828)
LCM = 284943107664/828
LCM = 344134188
Thus, we can understand that the LCM of 564,717,828,851 is 344134188.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 564, 717, 828, 851
1. What is the LCM of 564, 717, 828, 851?
Answer: LCM of 564, 717, 828, 851 is 344134188.
2. How to calculate the LCM of 564, 717, 828, 851?
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 564, 717, 828, 851.
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}.