LCM of 208, 898, 374, 449
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 208, 898, 374, 449 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 208, 898, 374, 449. So, keep reading to learn more.
Given numbers are 208,898,374,449
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 208,898,374,449 is 17464304.
Find LCM of 208,898,374,449 with Prime Factorization
| 2 | 208, 898, 374, 449 |
| 449 | 104, 449, 187, 449 |
| 104, 1, 187, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 449 x 104 x 1 x 187 x 1 = 17464304
Therefore, the lowest common multiple of 208,898,374,449 is 17464304.
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.
208 x 898 x 374 x 449 = 31365889984
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.
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
898 : 1, 2, 449, 898
374 : 1, 2, 11, 17, 22, 34, 187, 374
449 : 1, 449
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,898,374,449, is 1.
Now, the common factors can be found like this.
208:2x 2x 2x 2x 13
898:2x 449
374:2x 11x 17
449:449
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 449 = 1796
Therefore, the value for common factors is 1796.
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 = 31365889984/(1x1796)
LCM = 31365889984/1796
LCM = 17464304
Thus, we can understand that the LCM of 208,898,374,449 is 17464304.
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FAQs on LCM of 208, 898, 374, 449
1. What is the LCM of 208, 898, 374, 449?
Answer: LCM of 208, 898, 374, 449 is 17464304.
2. How to calculate the LCM of 208, 898, 374, 449?
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 208, 898, 374, 449.
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}.