Find the LCM of 281, 361, 872, 699, 260 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 281, 361, 872, 699, 260. So, keep reading to learn more.
Given numbers are 281,361,872,699,260
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 281,361,872,699,260 is 4019023440120.
Find LCM of 281,361,872,699,260 with Prime Factorization
2 | 281, 361, 872, 699, 260 |
2 | 281, 361, 436, 699, 130 |
281, 361, 218, 699, 65 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 281 x 361 x 218 x 699 x 65 = 4019023440120
Therefore, the lowest common multiple of 281,361,872,699,260 is 4019023440120.
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.
281 x 361 x 872 x 699 x 260 = 16076093760480
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.
281 : 1, 281
361 : 1, 19, 361
872 : 1, 2, 4, 8, 109, 218, 436, 872
699 : 1, 3, 233, 699
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 281,361,872,699,260, is 1.
Now, the common factors can be found like this.
281:281
361:19x 19
872:2x 2x 2x 109
699:3x 233
260:2x 2x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 16076093760480/(1x4)
LCM = 16076093760480/4
LCM = 4019023440120
Thus, we can understand that the LCM of 281,361,872,699,260 is 4019023440120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 281, 361, 872, 699, 260?
Answer: LCM of 281, 361, 872, 699, 260 is 4019023440120.
2. How to calculate the LCM of 281, 361, 872, 699, 260?
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 281, 361, 872, 699, 260.
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}.