LCM of 803, 442, 416, 319
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 803, 442, 416, 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 803, 442, 416, 319. So, keep reading to learn more.
Given numbers are 803,442,416,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 803,442,416,319 is 164685664.
Find LCM of 803,442,416,319 with Prime Factorization
| 2 | 803, 442, 416, 319 |
| 11 | 803, 221, 208, 319 |
| 13 | 73, 221, 208, 29 |
| 73, 17, 16, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 73 x 17 x 16 x 29 = 164685664
Therefore, the lowest common multiple of 803,442,416,319 is 164685664.
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.
803 x 442 x 416 x 319 = 47100099904
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.
803 : 1, 11, 73, 803
442 : 1, 2, 13, 17, 26, 34, 221, 442
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,442,416,319, is 1.
Now, the common factors can be found like this.
803:11x 73
442:2x 13x 17
416:2x 2x 2x 2x 2x 13
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 11x 13 = 286
Therefore, the value for common factors is 286.
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 = 47100099904/(1x286)
LCM = 47100099904/286
LCM = 164685664
Thus, we can understand that the LCM of 803,442,416,319 is 164685664.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 803, 442, 416, 319
1. What is the LCM of 803, 442, 416, 319?
Answer: LCM of 803, 442, 416, 319 is 164685664.
2. How to calculate the LCM of 803, 442, 416, 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 803, 442, 416, 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}.