LCM of 584, 105, 290, 754, 463
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 584, 105, 290, 754, 463 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 584, 105, 290, 754, 463. So, keep reading to learn more.
Given numbers are 584,105,290,754,463
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 584,105,290,754,463 is 10703467320.
Find LCM of 584,105,290,754,463 with Prime Factorization
| 2 | 584, 105, 290, 754, 463 |
| 5 | 292, 105, 145, 377, 463 |
| 29 | 292, 21, 29, 377, 463 |
| 292, 21, 1, 13, 463 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 29 x 292 x 21 x 1 x 13 x 463 = 10703467320
Therefore, the lowest common multiple of 584,105,290,754,463 is 10703467320.
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.
584 x 105 x 290 x 754 x 463 = 6208011045600
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.
584 : 1, 2, 4, 8, 73, 146, 292, 584
105 : 1, 3, 5, 7, 15, 21, 35, 105
290 : 1, 2, 5, 10, 29, 58, 145, 290
754 : 1, 2, 13, 26, 29, 58, 377, 754
463 : 1, 463
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,105,290,754,463, is 1.
Now, the common factors can be found like this.
584:2x 2x 2x 73
105:3x 5x 7
290:2x 5x 29
754:2x 13x 29
463:463
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 29 = 580
Therefore, the value for common factors is 580.
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 = 6208011045600/(1x580)
LCM = 6208011045600/580
LCM = 10703467320
Thus, we can understand that the LCM of 584,105,290,754,463 is 10703467320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 584, 105, 290, 754, 463
1. What is the LCM of 584, 105, 290, 754, 463?
Answer: LCM of 584, 105, 290, 754, 463 is 10703467320.
2. How to calculate the LCM of 584, 105, 290, 754, 463?
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 584, 105, 290, 754, 463.
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}.