LCM of 512, 928, 766, 416
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 512, 928, 766, 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 512, 928, 766, 416. So, keep reading to learn more.
Given numbers are 512,928,766,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 512,928,766,416 is 73928192.
Find LCM of 512,928,766,416 with Prime Factorization
| 2 | 512, 928, 766, 416 |
| 2 | 256, 464, 383, 208 |
| 2 | 128, 232, 383, 104 |
| 2 | 64, 116, 383, 52 |
| 2 | 32, 58, 383, 26 |
| 16, 29, 383, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 16 x 29 x 383 x 13 = 73928192
Therefore, the lowest common multiple of 512,928,766,416 is 73928192.
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 928 x 766 x 416 = 151404937216
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
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
766 : 1, 2, 383, 766
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 512,928,766,416, is 2.
Now, the common factors can be found like this.
512:2x 2x 2x 2x 2x 2x 2x 2x 2
928:2x 2x 2x 2x 2x 29
766:2x 383
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 2x 2x 2x 2 = 1024
Therefore, the value for common factors is 1024.
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 = 151404937216/(2x1024)
LCM = 151404937216/2048
LCM = 73928192
Thus, we can understand that the LCM of 512,928,766,416 is 73928192.
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FAQs on LCM of 512, 928, 766, 416
1. What is the LCM of 512, 928, 766, 416?
Answer: LCM of 512, 928, 766, 416 is 73928192.
2. How to calculate the LCM of 512, 928, 766, 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 512, 928, 766, 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}.