LCM of 984, 799, 748, 338, 389
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 984, 799, 748, 338, 389 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 984, 799, 748, 338, 389. So, keep reading to learn more.
Given numbers are 984,799,748,338,389
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 984,799,748,338,389 is 568552886616.
Find LCM of 984,799,748,338,389 with Prime Factorization
| 2 | 984, 799, 748, 338, 389 |
| 2 | 492, 799, 374, 169, 389 |
| 17 | 246, 799, 187, 169, 389 |
| 246, 47, 11, 169, 389 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 246 x 47 x 11 x 169 x 389 = 568552886616
Therefore, the lowest common multiple of 984,799,748,338,389 is 568552886616.
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.
984 x 799 x 748 x 338 x 389 = 77323192579776
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.
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
799 : 1, 17, 47, 799
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
338 : 1, 2, 13, 26, 169, 338
389 : 1, 389
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,799,748,338,389, is 1.
Now, the common factors can be found like this.
984:2x 2x 2x 3x 41
799:17x 47
748:2x 2x 11x 17
338:2x 13x 13
389:389
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 17 = 136
Therefore, the value for common factors is 136.
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 = 77323192579776/(1x136)
LCM = 77323192579776/136
LCM = 568552886616
Thus, we can understand that the LCM of 984,799,748,338,389 is 568552886616.
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FAQs on LCM of 984, 799, 748, 338, 389
1. What is the LCM of 984, 799, 748, 338, 389?
Answer: LCM of 984, 799, 748, 338, 389 is 568552886616.
2. How to calculate the LCM of 984, 799, 748, 338, 389?
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 984, 799, 748, 338, 389.
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}.