Find the LCM of 245, 360, 799, 329, 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 245, 360, 799, 329, 449. So, keep reading to learn more.
Given numbers are 245,360,799,329,449
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 245,360,799,329,449 is 6328367640.
Find LCM of 245,360,799,329,449 with Prime Factorization
5 | 245, 360, 799, 329, 449 |
7 | 49, 72, 799, 329, 449 |
47 | 7, 72, 799, 47, 449 |
7, 72, 17, 1, 449 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 47 x 7 x 72 x 17 x 1 x 449 = 6328367640
Therefore, the lowest common multiple of 245,360,799,329,449 is 6328367640.
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.
245 x 360 x 799 x 329 x 449 = 10410164767800
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.
245 : 1, 5, 7, 35, 49, 245
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
799 : 1, 17, 47, 799
329 : 1, 7, 47, 329
449 : 1, 449
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 245,360,799,329,449, is 1.
Now, the common factors can be found like this.
245:5x 7x 7
360:2x 2x 2x 3x 3x 5
799:17x 47
329:7x 47
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.
5x 7x 47 = 1645
Therefore, the value for common factors is 1645.
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 = 10410164767800/(1x1645)
LCM = 10410164767800/1645
LCM = 6328367640
Thus, we can understand that the LCM of 245,360,799,329,449 is 6328367640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 245, 360, 799, 329, 449?
Answer: LCM of 245, 360, 799, 329, 449 is 6328367640.
2. How to calculate the LCM of 245, 360, 799, 329, 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 245, 360, 799, 329, 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}.