LCM of 315, 289, 578, 999, 738
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 289, 578, 999, 738 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 315, 289, 578, 999, 738. So, keep reading to learn more.
Given numbers are 315,289,578,999,738
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,289,578,999,738 is 828600570.
Find LCM of 315,289,578,999,738 with Prime Factorization
| 2 | 315, 289, 578, 999, 738 |
| 3 | 315, 289, 289, 999, 369 |
| 3 | 105, 289, 289, 333, 123 |
| 17 | 35, 289, 289, 111, 41 |
| 17 | 35, 17, 17, 111, 41 |
| 35, 1, 1, 111, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 17 x 17 x 35 x 1 x 1 x 111 x 41 = 828600570
Therefore, the lowest common multiple of 315,289,578,999,738 is 828600570.
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.
315 x 289 x 578 x 999 x 738 = 38793421486260
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
289 : 1, 17, 289
578 : 1, 2, 17, 34, 289, 578
999 : 1, 3, 9, 27, 37, 111, 333, 999
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,289,578,999,738, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
289:17x 17
578:2x 17x 17
999:3x 3x 3x 37
738:2x 3x 3x 41
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 3x 3x 17x 17 = 46818
Therefore, the value for common factors is 46818.
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 = 38793421486260/(1x46818)
LCM = 38793421486260/46818
LCM = 828600570
Thus, we can understand that the LCM of 315,289,578,999,738 is 828600570.
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FAQs on LCM of 315, 289, 578, 999, 738
1. What is the LCM of 315, 289, 578, 999, 738?
Answer: LCM of 315, 289, 578, 999, 738 is 828600570.
2. How to calculate the LCM of 315, 289, 578, 999, 738?
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 315, 289, 578, 999, 738.
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}.