LCM of 380, 768, 713, 527
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 380, 768, 713, 527 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 380, 768, 713, 527. So, keep reading to learn more.
Given numbers are 380,768,713,527
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 380,768,713,527 is 884348160.
Find LCM of 380,768,713,527 with Prime Factorization
| 2 | 380, 768, 713, 527 |
| 2 | 190, 384, 713, 527 |
| 31 | 95, 192, 713, 527 |
| 95, 192, 23, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 31 x 95 x 192 x 23 x 17 = 884348160
Therefore, the lowest common multiple of 380,768,713,527 is 884348160.
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.
380 x 768 x 713 x 527 = 109659171840
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.
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
713 : 1, 23, 31, 713
527 : 1, 17, 31, 527
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,768,713,527, is 1.
Now, the common factors can be found like this.
380:2x 2x 5x 19
768:2x 2x 2x 2x 2x 2x 2x 2x 3
713:23x 31
527:17x 31
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 31 = 124
Therefore, the value for common factors is 124.
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 = 109659171840/(1x124)
LCM = 109659171840/124
LCM = 884348160
Thus, we can understand that the LCM of 380,768,713,527 is 884348160.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 380, 768, 713, 527
1. What is the LCM of 380, 768, 713, 527?
Answer: LCM of 380, 768, 713, 527 is 884348160.
2. How to calculate the LCM of 380, 768, 713, 527?
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 380, 768, 713, 527.
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}.