LCM of 394, 429, 251, 768, 416
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 394, 429, 251, 768, 416 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 394, 429, 251, 768, 416. So, keep reading to learn more.
Given numbers are 394,429,251,768,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 394,429,251,768,416 is 5430467328.
Find LCM of 394,429,251,768,416 with Prime Factorization
| 2 | 394, 429, 251, 768, 416 |
| 2 | 197, 429, 251, 384, 208 |
| 2 | 197, 429, 251, 192, 104 |
| 2 | 197, 429, 251, 96, 52 |
| 2 | 197, 429, 251, 48, 26 |
| 3 | 197, 429, 251, 24, 13 |
| 13 | 197, 143, 251, 8, 13 |
| 197, 11, 251, 8, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 13 x 197 x 11 x 251 x 8 x 1 = 5430467328
Therefore, the lowest common multiple of 394,429,251,768,416 is 5430467328.
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.
394 x 429 x 251 x 768 x 416 = 13554446450688
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.
394 : 1, 2, 197, 394
429 : 1, 3, 11, 13, 33, 39, 143, 429
251 : 1, 251
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,429,251,768,416, is 1.
Now, the common factors can be found like this.
394:2x 197
429:3x 11x 13
251:251
768:2x 2x 2x 2x 2x 2x 2x 2x 3
416:2x 2x 2x 2x 2x 13
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 3x 13 = 2496
Therefore, the value for common factors is 2496.
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 = 13554446450688/(1x2496)
LCM = 13554446450688/2496
LCM = 5430467328
Thus, we can understand that the LCM of 394,429,251,768,416 is 5430467328.
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FAQs on LCM of 394, 429, 251, 768, 416
1. What is the LCM of 394, 429, 251, 768, 416?
Answer: LCM of 394, 429, 251, 768, 416 is 5430467328.
2. How to calculate the LCM of 394, 429, 251, 768, 416?
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 394, 429, 251, 768, 416.
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}.