LCM of 634, 285, 582, 513, 284
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 634, 285, 582, 513, 284 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 634, 285, 582, 513, 284. So, keep reading to learn more.
Given numbers are 634,285,582,513,284
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 634,285,582,513,284 is 22399416540.
Find LCM of 634,285,582,513,284 with Prime Factorization
| 2 | 634, 285, 582, 513, 284 |
| 3 | 317, 285, 291, 513, 142 |
| 19 | 317, 95, 97, 171, 142 |
| 317, 5, 97, 9, 142 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 317 x 5 x 97 x 9 x 142 = 22399416540
Therefore, the lowest common multiple of 634,285,582,513,284 is 22399416540.
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.
634 x 285 x 582 x 513 x 284 = 15321200913360
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.
634 : 1, 2, 317, 634
285 : 1, 3, 5, 15, 19, 57, 95, 285
582 : 1, 2, 3, 6, 97, 194, 291, 582
513 : 1, 3, 9, 19, 27, 57, 171, 513
284 : 1, 2, 4, 71, 142, 284
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 634,285,582,513,284, is 1.
Now, the common factors can be found like this.
634:2x 317
285:3x 5x 19
582:2x 3x 97
513:3x 3x 3x 19
284:2x 2x 71
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 3x 3x 19 = 684
Therefore, the value for common factors is 684.
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 = 15321200913360/(1x684)
LCM = 15321200913360/684
LCM = 22399416540
Thus, we can understand that the LCM of 634,285,582,513,284 is 22399416540.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 634, 285, 582, 513, 284
1. What is the LCM of 634, 285, 582, 513, 284?
Answer: LCM of 634, 285, 582, 513, 284 is 22399416540.
2. How to calculate the LCM of 634, 285, 582, 513, 284?
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 634, 285, 582, 513, 284.
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}.