LCM of 598, 115, 748, 351, 998
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 598, 115, 748, 351, 998 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 598, 115, 748, 351, 998. So, keep reading to learn more.
Given numbers are 598,115,748,351,998
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,115,748,351,998 is 15066316980.
Find LCM of 598,115,748,351,998 with Prime Factorization
| 2 | 598, 115, 748, 351, 998 |
| 13 | 299, 115, 374, 351, 499 |
| 23 | 23, 115, 374, 27, 499 |
| 1, 5, 374, 27, 499 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 23 x 1 x 5 x 374 x 27 x 499 = 15066316980
Therefore, the lowest common multiple of 598,115,748,351,998 is 15066316980.
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.
598 x 115 x 748 x 351 x 998 = 18019315108080
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.
598 : 1, 2, 13, 23, 26, 46, 299, 598
115 : 1, 5, 23, 115
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
351 : 1, 3, 9, 13, 27, 39, 117, 351
998 : 1, 2, 499, 998
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,115,748,351,998, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
115:5x 23
748:2x 2x 11x 17
351:3x 3x 3x 13
998:2x 499
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 13x 23 = 1196
Therefore, the value for common factors is 1196.
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 = 18019315108080/(1x1196)
LCM = 18019315108080/1196
LCM = 15066316980
Thus, we can understand that the LCM of 598,115,748,351,998 is 15066316980.
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FAQs on LCM of 598, 115, 748, 351, 998
1. What is the LCM of 598, 115, 748, 351, 998?
Answer: LCM of 598, 115, 748, 351, 998 is 15066316980.
2. How to calculate the LCM of 598, 115, 748, 351, 998?
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 598, 115, 748, 351, 998.
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}.