Find the LCM of 882, 300, 405, 155, 917 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 882, 300, 405, 155, 917. So, keep reading to learn more.
Given numbers are 882,300,405,155,917
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 882,300,405,155,917 is 1611810900.
Find LCM of 882,300,405,155,917 with Prime Factorization
2 | 882, 300, 405, 155, 917 |
3 | 441, 150, 405, 155, 917 |
3 | 147, 50, 135, 155, 917 |
5 | 49, 50, 45, 155, 917 |
7 | 49, 10, 9, 31, 917 |
7, 10, 9, 31, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 7 x 10 x 9 x 31 x 131 = 1611810900
Therefore, the lowest common multiple of 882,300,405,155,917 is 1611810900.
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.
882 x 300 x 405 x 155 x 917 = 15231613005000
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.
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
155 : 1, 5, 31, 155
917 : 1, 7, 131, 917
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,300,405,155,917, is 1.
Now, the common factors can be found like this.
882:2x 3x 3x 7x 7
300:2x 2x 3x 5x 5
405:3x 3x 3x 3x 5
155:5x 31
917:7x 131
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 3x 3x 5x 5x 7 = 9450
Therefore, the value for common factors is 9450.
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 = 15231613005000/(1x9450)
LCM = 15231613005000/9450
LCM = 1611810900
Thus, we can understand that the LCM of 882,300,405,155,917 is 1611810900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 882, 300, 405, 155, 917?
Answer: LCM of 882, 300, 405, 155, 917 is 1611810900.
2. How to calculate the LCM of 882, 300, 405, 155, 917?
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 882, 300, 405, 155, 917.
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}.