LCM of 798, 321, 238, 245, 319
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 798, 321, 238, 245, 319 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 798, 321, 238, 245, 319. So, keep reading to learn more.
Given numbers are 798,321,238,245,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 798,321,238,245,319 is 16206689730.
Find LCM of 798,321,238,245,319 with Prime Factorization
| 2 | 798, 321, 238, 245, 319 |
| 3 | 399, 321, 119, 245, 319 |
| 7 | 133, 107, 119, 245, 319 |
| 19, 107, 17, 35, 319 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 19 x 107 x 17 x 35 x 319 = 16206689730
Therefore, the lowest common multiple of 798,321,238,245,319 is 16206689730.
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.
798 x 321 x 238 x 245 x 319 = 4764766780620
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.
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
321 : 1, 3, 107, 321
238 : 1, 2, 7, 14, 17, 34, 119, 238
245 : 1, 5, 7, 35, 49, 245
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,321,238,245,319, is 1.
Now, the common factors can be found like this.
798:2x 3x 7x 19
321:3x 107
238:2x 7x 17
245:5x 7x 7
319:11x 29
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 7x 7 = 294
Therefore, the value for common factors is 294.
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 = 4764766780620/(1x294)
LCM = 4764766780620/294
LCM = 16206689730
Thus, we can understand that the LCM of 798,321,238,245,319 is 16206689730.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 798, 321, 238, 245, 319
1. What is the LCM of 798, 321, 238, 245, 319?
Answer: LCM of 798, 321, 238, 245, 319 is 16206689730.
2. How to calculate the LCM of 798, 321, 238, 245, 319?
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 798, 321, 238, 245, 319.
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}.