LCM of 326, 784, 489, 970, 344
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 326, 784, 489, 970, 344 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, 784, 489, 970, 344. So, keep reading to learn more.
Given numbers are 326,784,489,970,344
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 326,784,489,970,344 is 7995306480.
Find LCM of 326,784,489,970,344 with Prime Factorization
| 2 | 326, 784, 489, 970, 344 |
| 2 | 163, 392, 489, 485, 172 |
| 2 | 163, 196, 489, 485, 86 |
| 163 | 163, 98, 489, 485, 43 |
| 1, 98, 3, 485, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 163 x 1 x 98 x 3 x 485 x 43 = 7995306480
Therefore, the lowest common multiple of 326,784,489,970,344 is 7995306480.
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 784 x 489 x 970 x 344 = 41703518599680
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
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
489 : 1, 3, 163, 489
970 : 1, 2, 5, 10, 97, 194, 485, 970
344 : 1, 2, 4, 8, 43, 86, 172, 344
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,784,489,970,344, is 1.
Now, the common factors can be found like this.
326:2x 163
784:2x 2x 2x 2x 7x 7
489:3x 163
970:2x 5x 97
344:2x 2x 2x 43
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 163 = 5216
Therefore, the value for common factors is 5216.
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 = 41703518599680/(1x5216)
LCM = 41703518599680/5216
LCM = 7995306480
Thus, we can understand that the LCM of 326,784,489,970,344 is 7995306480.
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FAQs on LCM of 326, 784, 489, 970, 344
1. What is the LCM of 326, 784, 489, 970, 344?
Answer: LCM of 326, 784, 489, 970, 344 is 7995306480.
2. How to calculate the LCM of 326, 784, 489, 970, 344?
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, 784, 489, 970, 344.
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}.