LCM of 394, 280, 424, 159, 106
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 394, 280, 424, 159, 106 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 394, 280, 424, 159, 106. So, keep reading to learn more.
Given numbers are 394,280,424,159,106
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 394,280,424,159,106 is 8770440.
Find LCM of 394,280,424,159,106 with Prime Factorization
| 2 | 394, 280, 424, 159, 106 |
| 2 | 197, 140, 212, 159, 53 |
| 2 | 197, 70, 106, 159, 53 |
| 53 | 197, 35, 53, 159, 53 |
| 197, 35, 1, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 53 x 197 x 35 x 1 x 3 x 1 = 8770440
Therefore, the lowest common multiple of 394,280,424,159,106 is 8770440.
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.
394 x 280 x 424 x 159 x 106 = 788357310720
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.
394 : 1, 2, 197, 394
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
424 : 1, 2, 4, 8, 53, 106, 212, 424
159 : 1, 3, 53, 159
106 : 1, 2, 53, 106
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,280,424,159,106, is 1.
Now, the common factors can be found like this.
394:2x 197
280:2x 2x 2x 5x 7
424:2x 2x 2x 53
159:3x 53
106:2x 53
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 53x 53 = 89888
Therefore, the value for common factors is 89888.
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 = 788357310720/(1x89888)
LCM = 788357310720/89888
LCM = 8770440
Thus, we can understand that the LCM of 394,280,424,159,106 is 8770440.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 394, 280, 424, 159, 106
1. What is the LCM of 394, 280, 424, 159, 106?
Answer: LCM of 394, 280, 424, 159, 106 is 8770440.
2. How to calculate the LCM of 394, 280, 424, 159, 106?
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 394, 280, 424, 159, 106.
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}.