LCM of 768, 224, 412, 544
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 768, 224, 412, 544 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, 224, 412, 544. So, keep reading to learn more.
Given numbers are 768,224,412,544
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 768,224,412,544 is 9413376.
Find LCM of 768,224,412,544 with Prime Factorization
| 2 | 768, 224, 412, 544 |
| 2 | 384, 112, 206, 272 |
| 2 | 192, 56, 103, 136 |
| 2 | 96, 28, 103, 68 |
| 2 | 48, 14, 103, 34 |
| 24, 7, 103, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 24 x 7 x 103 x 17 = 9413376
Therefore, the lowest common multiple of 768,224,412,544 is 9413376.
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 224 x 412 x 544 = 38557188096
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
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
412 : 1, 2, 4, 103, 206, 412
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,224,412,544, is 4.
Now, the common factors can be found like this.
768:2x 2x 2x 2x 2x 2x 2x 2x 3
224:2x 2x 2x 2x 2x 7
412:2x 2x 103
544:2x 2x 2x 2x 2x 17
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 = 38557188096/(4x1024)
LCM = 38557188096/4096
LCM = 9413376
Thus, we can understand that the LCM of 768,224,412,544 is 9413376.
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FAQs on LCM of 768, 224, 412, 544
1. What is the LCM of 768, 224, 412, 544?
Answer: LCM of 768, 224, 412, 544 is 9413376.
2. How to calculate the LCM of 768, 224, 412, 544?
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, 224, 412, 544.
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}.