LCM of 319, 819, 221, 802, 320
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 319, 819, 221, 802, 320 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 319, 819, 221, 802, 320. So, keep reading to learn more.
Given numbers are 319,819,221,802,320
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,819,221,802,320 is 569925195840.
Find LCM of 319,819,221,802,320 with Prime Factorization
| 2 | 319, 819, 221, 802, 320 |
| 13 | 319, 819, 221, 401, 160 |
| 319, 63, 17, 401, 160 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 319 x 63 x 17 x 401 x 160 = 569925195840
Therefore, the lowest common multiple of 319,819,221,802,320 is 569925195840.
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.
319 x 819 x 221 x 802 x 320 = 14818055091840
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.
319 : 1, 11, 29, 319
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
221 : 1, 13, 17, 221
802 : 1, 2, 401, 802
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,819,221,802,320, is 1.
Now, the common factors can be found like this.
319:11x 29
819:3x 3x 7x 13
221:13x 17
802:2x 401
320:2x 2x 2x 2x 2x 2x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13 = 26
Therefore, the value for common factors is 26.
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 = 14818055091840/(1x26)
LCM = 14818055091840/26
LCM = 569925195840
Thus, we can understand that the LCM of 319,819,221,802,320 is 569925195840.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 319, 819, 221, 802, 320
1. What is the LCM of 319, 819, 221, 802, 320?
Answer: LCM of 319, 819, 221, 802, 320 is 569925195840.
2. How to calculate the LCM of 319, 819, 221, 802, 320?
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 319, 819, 221, 802, 320.
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}.