LCM of 326, 494, 280, 800, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 326, 494, 280, 800, 312 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 326, 494, 280, 800, 312. So, keep reading to learn more.
Given numbers are 326,494,280,800,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 326,494,280,800,312 is 676384800.
Find LCM of 326,494,280,800,312 with Prime Factorization
| 2 | 326, 494, 280, 800, 312 |
| 2 | 163, 247, 140, 400, 156 |
| 2 | 163, 247, 70, 200, 78 |
| 5 | 163, 247, 35, 100, 39 |
| 13 | 163, 247, 7, 20, 39 |
| 163, 19, 7, 20, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 13 x 163 x 19 x 7 x 20 x 3 = 676384800
Therefore, the lowest common multiple of 326,494,280,800,312 is 676384800.
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.
326 x 494 x 280 x 800 x 312 = 11255043072000
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.
326 : 1, 2, 163, 326
494 : 1, 2, 13, 19, 26, 38, 247, 494
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,494,280,800,312, is 2.
Now, the common factors can be found like this.
326:2x 163
494:2x 13x 19
280:2x 2x 2x 5x 7
800:2x 2x 2x 2x 2x 5x 5
312:2x 2x 2x 3x 13
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 2x 5x 13 = 8320
Therefore, the value for common factors is 8320.
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 = 11255043072000/(2x8320)
LCM = 11255043072000/16640
LCM = 676384800
Thus, we can understand that the LCM of 326,494,280,800,312 is 676384800.
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FAQs on LCM of 326, 494, 280, 800, 312
1. What is the LCM of 326, 494, 280, 800, 312?
Answer: LCM of 326, 494, 280, 800, 312 is 676384800.
2. How to calculate the LCM of 326, 494, 280, 800, 312?
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 326, 494, 280, 800, 312.
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}.