Find the LCM of 891, 390, 592, 259, 735 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 891, 390, 592, 259, 735. So, keep reading to learn more.
Given numbers are 891,390,592,259,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 891,390,592,259,735 is 1679998320.
Find LCM of 891,390,592,259,735 with Prime Factorization
2 | 891, 390, 592, 259, 735 |
3 | 891, 195, 296, 259, 735 |
5 | 297, 65, 296, 259, 245 |
7 | 297, 13, 296, 259, 49 |
37 | 297, 13, 296, 37, 7 |
297, 13, 8, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 37 x 297 x 13 x 8 x 1 x 7 = 1679998320
Therefore, the lowest common multiple of 891,390,592,259,735 is 1679998320.
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.
891 x 390 x 592 x 259 x 735 = 39160760839200
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.
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
259 : 1, 7, 37, 259
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 891,390,592,259,735, is 1.
Now, the common factors can be found like this.
891:3x 3x 3x 3x 11
390:2x 3x 5x 13
592:2x 2x 2x 2x 37
259:7x 37
735:3x 5x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 7x 37 = 23310
Therefore, the value for common factors is 23310.
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 = 39160760839200/(1x23310)
LCM = 39160760839200/23310
LCM = 1679998320
Thus, we can understand that the LCM of 891,390,592,259,735 is 1679998320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 891, 390, 592, 259, 735?
Answer: LCM of 891, 390, 592, 259, 735 is 1679998320.
2. How to calculate the LCM of 891, 390, 592, 259, 735?
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 891, 390, 592, 259, 735.
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}.