LCM of 998, 725, 712, 730, 904
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 998, 725, 712, 730, 904 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 998, 725, 712, 730, 904. So, keep reading to learn more.
Given numbers are 998,725,712,730,904
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 998,725,712,730,904 is 2124808766200.
Find LCM of 998,725,712,730,904 with Prime Factorization
| 2 | 998, 725, 712, 730, 904 |
| 2 | 499, 725, 356, 365, 452 |
| 2 | 499, 725, 178, 365, 226 |
| 5 | 499, 725, 89, 365, 113 |
| 499, 145, 89, 73, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 499 x 145 x 89 x 73 x 113 = 2124808766200
Therefore, the lowest common multiple of 998,725,712,730,904 is 2124808766200.
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.
998 x 725 x 712 x 730 x 904 = 339969402592000
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.
998 : 1, 2, 499, 998
725 : 1, 5, 25, 29, 145, 725
712 : 1, 2, 4, 8, 89, 178, 356, 712
730 : 1, 2, 5, 10, 73, 146, 365, 730
904 : 1, 2, 4, 8, 113, 226, 452, 904
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,725,712,730,904, is 1.
Now, the common factors can be found like this.
998:2x 499
725:5x 5x 29
712:2x 2x 2x 89
730:2x 5x 73
904:2x 2x 2x 113
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 5 = 160
Therefore, the value for common factors is 160.
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 = 339969402592000/(1x160)
LCM = 339969402592000/160
LCM = 2124808766200
Thus, we can understand that the LCM of 998,725,712,730,904 is 2124808766200.
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FAQs on LCM of 998, 725, 712, 730, 904
1. What is the LCM of 998, 725, 712, 730, 904?
Answer: LCM of 998, 725, 712, 730, 904 is 2124808766200.
2. How to calculate the LCM of 998, 725, 712, 730, 904?
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 998, 725, 712, 730, 904.
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}.