LCM of 380, 605, 219, 584
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 380, 605, 219, 584 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, 605, 219, 584. So, keep reading to learn more.
Given numbers are 380,605,219,584
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 380,605,219,584 is 20139240.
Find LCM of 380,605,219,584 with Prime Factorization
| 2 | 380, 605, 219, 584 |
| 2 | 190, 605, 219, 292 |
| 5 | 95, 605, 219, 146 |
| 73 | 19, 121, 219, 146 |
| 19, 121, 3, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 73 x 19 x 121 x 3 x 2 = 20139240
Therefore, the lowest common multiple of 380,605,219,584 is 20139240.
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 605 x 219 x 584 = 29403290400
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
605 : 1, 5, 11, 55, 121, 605
219 : 1, 3, 73, 219
584 : 1, 2, 4, 8, 73, 146, 292, 584
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,605,219,584, is 1.
Now, the common factors can be found like this.
380:2x 2x 5x 19
605:5x 11x 11
219:3x 73
584:2x 2x 2x 73
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 5x 73 = 1460
Therefore, the value for common factors is 1460.
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 = 29403290400/(1x1460)
LCM = 29403290400/1460
LCM = 20139240
Thus, we can understand that the LCM of 380,605,219,584 is 20139240.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 380, 605, 219, 584
1. What is the LCM of 380, 605, 219, 584?
Answer: LCM of 380, 605, 219, 584 is 20139240.
2. How to calculate the LCM of 380, 605, 219, 584?
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, 605, 219, 584.
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}.