Find the LCM of 210, 585, 786, 773, 910 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 210, 585, 786, 773, 910. So, keep reading to learn more.
Given numbers are 210,585,786,773,910
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 210,585,786,773,910 is 829343970.
Find LCM of 210,585,786,773,910 with Prime Factorization
2 | 210, 585, 786, 773, 910 |
3 | 105, 585, 393, 773, 455 |
5 | 35, 195, 131, 773, 455 |
7 | 7, 39, 131, 773, 91 |
13 | 1, 39, 131, 773, 13 |
1, 3, 131, 773, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 13 x 1 x 3 x 131 x 773 x 1 = 829343970
Therefore, the lowest common multiple of 210,585,786,773,910 is 829343970.
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.
210 x 585 x 786 x 773 x 910 = 67923271143000
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.
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
786 : 1, 2, 3, 6, 131, 262, 393, 786
773 : 1, 773
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,585,786,773,910, is 1.
Now, the common factors can be found like this.
210:2x 3x 5x 7
585:3x 3x 5x 13
786:2x 3x 131
773:773
910:2x 5x 7x 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 2x 3x 3x 5x 5x 7x 13 = 81900
Therefore, the value for common factors is 81900.
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 = 67923271143000/(1x81900)
LCM = 67923271143000/81900
LCM = 829343970
Thus, we can understand that the LCM of 210,585,786,773,910 is 829343970.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 210, 585, 786, 773, 910?
Answer: LCM of 210, 585, 786, 773, 910 is 829343970.
2. How to calculate the LCM of 210, 585, 786, 773, 910?
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 210, 585, 786, 773, 910.
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}.