LCM of 768, 481, 456, 752
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 768, 481, 456, 752 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 768, 481, 456, 752. So, keep reading to learn more.
Given numbers are 768,481,456,752
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 768,481,456,752 is 329881344.
Find LCM of 768,481,456,752 with Prime Factorization
| 2 | 768, 481, 456, 752 |
| 2 | 384, 481, 228, 376 |
| 2 | 192, 481, 114, 188 |
| 2 | 96, 481, 57, 94 |
| 3 | 48, 481, 57, 47 |
| 16, 481, 19, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 16 x 481 x 19 x 47 = 329881344
Therefore, the lowest common multiple of 768,481,456,752 is 329881344.
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.
768 x 481 x 456 x 752 = 126674436096
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.
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
481 : 1, 13, 37, 481
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,481,456,752, is 1.
Now, the common factors can be found like this.
768:2x 2x 2x 2x 2x 2x 2x 2x 3
481:13x 37
456:2x 2x 2x 3x 19
752:2x 2x 2x 2x 47
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 3 = 384
Therefore, the value for common factors is 384.
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 = 126674436096/(1x384)
LCM = 126674436096/384
LCM = 329881344
Thus, we can understand that the LCM of 768,481,456,752 is 329881344.
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FAQs on LCM of 768, 481, 456, 752
1. What is the LCM of 768, 481, 456, 752?
Answer: LCM of 768, 481, 456, 752 is 329881344.
2. How to calculate the LCM of 768, 481, 456, 752?
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 768, 481, 456, 752.
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}.