LCM of 508, 459, 260, 712, 704
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 508, 459, 260, 712, 704 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 508, 459, 260, 712, 704. So, keep reading to learn more.
Given numbers are 508,459,260,712,704
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,459,260,712,704 is 237406403520.
Find LCM of 508,459,260,712,704 with Prime Factorization
| 2 | 508, 459, 260, 712, 704 |
| 2 | 254, 459, 130, 356, 352 |
| 2 | 127, 459, 65, 178, 176 |
| 127, 459, 65, 89, 88 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 127 x 459 x 65 x 89 x 88 = 237406403520
Therefore, the lowest common multiple of 508,459,260,712,704 is 237406403520.
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.
508 x 459 x 260 x 712 x 704 = 30388019650560
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.
508 : 1, 2, 4, 127, 254, 508
459 : 1, 3, 9, 17, 27, 51, 153, 459
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
712 : 1, 2, 4, 8, 89, 178, 356, 712
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,459,260,712,704, is 1.
Now, the common factors can be found like this.
508:2x 2x 127
459:3x 3x 3x 17
260:2x 2x 5x 13
712:2x 2x 2x 89
704:2x 2x 2x 2x 2x 2x 11
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 2x 2x 2x 2x 2 = 128
Therefore, the value for common factors is 128.
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 = 30388019650560/(1x128)
LCM = 30388019650560/128
LCM = 237406403520
Thus, we can understand that the LCM of 508,459,260,712,704 is 237406403520.
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FAQs on LCM of 508, 459, 260, 712, 704
1. What is the LCM of 508, 459, 260, 712, 704?
Answer: LCM of 508, 459, 260, 712, 704 is 237406403520.
2. How to calculate the LCM of 508, 459, 260, 712, 704?
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 508, 459, 260, 712, 704.
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}.