LCM of 115, 390, 529, 768
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 115, 390, 529, 768 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 115, 390, 529, 768. So, keep reading to learn more.
Given numbers are 115,390,529,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 115,390,529,768 is 26407680.
Find LCM of 115,390,529,768 with Prime Factorization
| 2 | 115, 390, 529, 768 |
| 3 | 115, 195, 529, 384 |
| 5 | 115, 65, 529, 128 |
| 23 | 23, 13, 529, 128 |
| 1, 13, 23, 128 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 1 x 13 x 23 x 128 = 26407680
Therefore, the lowest common multiple of 115,390,529,768 is 26407680.
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.
115 x 390 x 529 x 768 = 18221299200
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.
115 : 1, 5, 23, 115
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
529 : 1, 23, 529
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 115,390,529,768, is 1.
Now, the common factors can be found like this.
115:5x 23
390:2x 3x 5x 13
529:23x 23
768:2x 2x 2x 2x 2x 2x 2x 2x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 23 = 690
Therefore, the value for common factors is 690.
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 = 18221299200/(1x690)
LCM = 18221299200/690
LCM = 26407680
Thus, we can understand that the LCM of 115,390,529,768 is 26407680.
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FAQs on LCM of 115, 390, 529, 768
1. What is the LCM of 115, 390, 529, 768?
Answer: LCM of 115, 390, 529, 768 is 26407680.
2. How to calculate the LCM of 115, 390, 529, 768?
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 115, 390, 529, 768.
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}.