Find the LCM of 863, 562, 135, 481, 828 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 863, 562, 135, 481, 828. So, keep reading to learn more.
Given numbers are 863,562,135,481,828
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 863,562,135,481,828 is 1448717772060.
Find LCM of 863,562,135,481,828 with Prime Factorization
2 | 863, 562, 135, 481, 828 |
3 | 863, 281, 135, 481, 414 |
3 | 863, 281, 45, 481, 138 |
863, 281, 15, 481, 46 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 863 x 281 x 15 x 481 x 46 = 1448717772060
Therefore, the lowest common multiple of 863,562,135,481,828 is 1448717772060.
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.
863 x 562 x 135 x 481 x 828 = 26076919897080
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.
863 : 1, 863
562 : 1, 2, 281, 562
135 : 1, 3, 5, 9, 15, 27, 45, 135
481 : 1, 13, 37, 481
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 863,562,135,481,828, is 1.
Now, the common factors can be found like this.
863:863
562:2x 281
135:3x 3x 3x 5
481:13x 37
828:2x 2x 3x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 26076919897080/(1x18)
LCM = 26076919897080/18
LCM = 1448717772060
Thus, we can understand that the LCM of 863,562,135,481,828 is 1448717772060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 863, 562, 135, 481, 828?
Answer: LCM of 863, 562, 135, 481, 828 is 1448717772060.
2. How to calculate the LCM of 863, 562, 135, 481, 828?
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 863, 562, 135, 481, 828.
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}.