LCM of 512, 960, 784, 319, 290
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 512, 960, 784, 319, 290 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 512, 960, 784, 319, 290. So, keep reading to learn more.
Given numbers are 512,960,784,319,290
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 512,960,784,319,290 is 120046080.
Find LCM of 512,960,784,319,290 with Prime Factorization
| 2 | 512, 960, 784, 319, 290 |
| 2 | 256, 480, 392, 319, 145 |
| 2 | 128, 240, 196, 319, 145 |
| 2 | 64, 120, 98, 319, 145 |
| 2 | 32, 60, 49, 319, 145 |
| 2 | 16, 30, 49, 319, 145 |
| 5 | 8, 15, 49, 319, 145 |
| 29 | 8, 3, 49, 319, 29 |
| 8, 3, 49, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 5 x 29 x 8 x 3 x 49 x 11 x 1 = 120046080
Therefore, the lowest common multiple of 512,960,784,319,290 is 120046080.
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.
512 x 960 x 784 x 319 x 290 = 35648883916800
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.
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
319 : 1, 11, 29, 319
290 : 1, 2, 5, 10, 29, 58, 145, 290
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 512,960,784,319,290, is 1.
Now, the common factors can be found like this.
512:2x 2x 2x 2x 2x 2x 2x 2x 2
960:2x 2x 2x 2x 2x 2x 3x 5
784:2x 2x 2x 2x 7x 7
319:11x 29
290:2x 5x 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 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 5x 29 = 296960
Therefore, the value for common factors is 296960.
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 = 35648883916800/(1x296960)
LCM = 35648883916800/296960
LCM = 120046080
Thus, we can understand that the LCM of 512,960,784,319,290 is 120046080.
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FAQs on LCM of 512, 960, 784, 319, 290
1. What is the LCM of 512, 960, 784, 319, 290?
Answer: LCM of 512, 960, 784, 319, 290 is 120046080.
2. How to calculate the LCM of 512, 960, 784, 319, 290?
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 512, 960, 784, 319, 290.
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}.