LCM of 445, 768, 678, 416
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 445, 768, 678, 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 445, 768, 678, 416. So, keep reading to learn more.
Given numbers are 445,768,678,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 445,768,678,416 is 502045440.
Find LCM of 445,768,678,416 with Prime Factorization
| 2 | 445, 768, 678, 416 |
| 2 | 445, 384, 339, 208 |
| 2 | 445, 192, 339, 104 |
| 2 | 445, 96, 339, 52 |
| 2 | 445, 48, 339, 26 |
| 3 | 445, 24, 339, 13 |
| 445, 8, 113, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 445 x 8 x 113 x 13 = 502045440
Therefore, the lowest common multiple of 445,768,678,416 is 502045440.
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.
445 x 768 x 678 x 416 = 96392724480
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.
445 : 1, 5, 89, 445
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
678 : 1, 2, 3, 6, 113, 226, 339, 678
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 445,768,678,416, is 1.
Now, the common factors can be found like this.
445:5x 89
768:2x 2x 2x 2x 2x 2x 2x 2x 3
678:2x 3x 113
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 3 = 192
Therefore, the value for common factors is 192.
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 = 96392724480/(1x192)
LCM = 96392724480/192
LCM = 502045440
Thus, we can understand that the LCM of 445,768,678,416 is 502045440.
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FAQs on LCM of 445, 768, 678, 416
1. What is the LCM of 445, 768, 678, 416?
Answer: LCM of 445, 768, 678, 416 is 502045440.
2. How to calculate the LCM of 445, 768, 678, 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 445, 768, 678, 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}.