LCM of 304, 342, 288, 640, 129
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 304, 342, 288, 640, 129 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 304, 342, 288, 640, 129. So, keep reading to learn more.
Given numbers are 304,342,288,640,129
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 304,342,288,640,129 is 4705920.
Find LCM of 304,342,288,640,129 with Prime Factorization
| 2 | 304, 342, 288, 640, 129 |
| 2 | 152, 171, 144, 320, 129 |
| 2 | 76, 171, 72, 160, 129 |
| 2 | 38, 171, 36, 80, 129 |
| 2 | 19, 171, 18, 40, 129 |
| 3 | 19, 171, 9, 20, 129 |
| 3 | 19, 57, 3, 20, 43 |
| 19 | 19, 19, 1, 20, 43 |
| 1, 1, 1, 20, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 3 x 19 x 1 x 1 x 1 x 20 x 43 = 4705920
Therefore, the lowest common multiple of 304,342,288,640,129 is 4705920.
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.
304 x 342 x 288 x 640 x 129 = 2472076247040
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.
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
129 : 1, 3, 43, 129
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,342,288,640,129, is 1.
Now, the common factors can be found like this.
304:2x 2x 2x 2x 19
342:2x 3x 3x 19
288:2x 2x 2x 2x 2x 3x 3
640:2x 2x 2x 2x 2x 2x 2x 5
129:3x 43
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 2x 2x 2x 2x 2x 2x 3x 3x 3x 19 = 525312
Therefore, the value for common factors is 525312.
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 = 2472076247040/(1x525312)
LCM = 2472076247040/525312
LCM = 4705920
Thus, we can understand that the LCM of 304,342,288,640,129 is 4705920.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 304, 342, 288, 640, 129
1. What is the LCM of 304, 342, 288, 640, 129?
Answer: LCM of 304, 342, 288, 640, 129 is 4705920.
2. How to calculate the LCM of 304, 342, 288, 640, 129?
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 304, 342, 288, 640, 129.
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}.