LCM of 442, 432, 104, 778
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 442, 432, 104, 778 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 442, 432, 104, 778. So, keep reading to learn more.
Given numbers are 442,432,104,778
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,432,104,778 is 37138608.
Find LCM of 442,432,104,778 with Prime Factorization
| 2 | 442, 432, 104, 778 |
| 2 | 221, 216, 52, 389 |
| 2 | 221, 108, 26, 389 |
| 13 | 221, 54, 13, 389 |
| 17, 54, 1, 389 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 17 x 54 x 1 x 389 = 37138608
Therefore, the lowest common multiple of 442,432,104,778 is 37138608.
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.
442 x 432 x 104 x 778 = 15449660928
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.
442 : 1, 2, 13, 17, 26, 34, 221, 442
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
104 : 1, 2, 4, 8, 13, 26, 52, 104
778 : 1, 2, 389, 778
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,432,104,778, is 2.
Now, the common factors can be found like this.
442:2x 13x 17
432:2x 2x 2x 2x 3x 3x 3
104:2x 2x 2x 13
778:2x 389
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 13 = 208
Therefore, the value for common factors is 208.
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 = 15449660928/(2x208)
LCM = 15449660928/416
LCM = 37138608
Thus, we can understand that the LCM of 442,432,104,778 is 37138608.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 442, 432, 104, 778
1. What is the LCM of 442, 432, 104, 778?
Answer: LCM of 442, 432, 104, 778 is 37138608.
2. How to calculate the LCM of 442, 432, 104, 778?
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 442, 432, 104, 778.
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}.