LCM of 104, 358, 814, 296
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 104, 358, 814, 296 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 104, 358, 814, 296. So, keep reading to learn more.
Given numbers are 104,358,814,296
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 104,358,814,296 is 7576712.
Find LCM of 104,358,814,296 with Prime Factorization
| 2 | 104, 358, 814, 296 |
| 2 | 52, 179, 407, 148 |
| 2 | 26, 179, 407, 74 |
| 37 | 13, 179, 407, 37 |
| 13, 179, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 37 x 13 x 179 x 11 x 1 = 7576712
Therefore, the lowest common multiple of 104,358,814,296 is 7576712.
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.
104 x 358 x 814 x 296 = 8970827008
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.
104 : 1, 2, 4, 8, 13, 26, 52, 104
358 : 1, 2, 179, 358
814 : 1, 2, 11, 22, 37, 74, 407, 814
296 : 1, 2, 4, 8, 37, 74, 148, 296
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,358,814,296, is 2.
Now, the common factors can be found like this.
104:2x 2x 2x 13
358:2x 179
814:2x 11x 37
296:2x 2x 2x 37
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 37 = 592
Therefore, the value for common factors is 592.
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 = 8970827008/(2x592)
LCM = 8970827008/1184
LCM = 7576712
Thus, we can understand that the LCM of 104,358,814,296 is 7576712.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 104, 358, 814, 296
1. What is the LCM of 104, 358, 814, 296?
Answer: LCM of 104, 358, 814, 296 is 7576712.
2. How to calculate the LCM of 104, 358, 814, 296?
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 104, 358, 814, 296.
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}.