Find the LCM of 816, 430, 537, 945, 905 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 816, 430, 537, 945, 905. So, keep reading to learn more.
Given numbers are 816,430,537,945,905
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,430,537,945,905 is 358097075280.
Find LCM of 816,430,537,945,905 with Prime Factorization
2 | 816, 430, 537, 945, 905 |
3 | 408, 215, 537, 945, 905 |
5 | 136, 215, 179, 315, 905 |
136, 43, 179, 63, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 136 x 43 x 179 x 63 x 181 = 358097075280
Therefore, the lowest common multiple of 816,430,537,945,905 is 358097075280.
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.
816 x 430 x 537 x 945 x 905 = 161143683876000
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.
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
430 : 1, 2, 5, 10, 43, 86, 215, 430
537 : 1, 3, 179, 537
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
905 : 1, 5, 181, 905
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,430,537,945,905, is 1.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
430:2x 5x 43
537:3x 179
945:3x 3x 3x 5x 7
905:5x 181
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 5x 5 = 450
Therefore, the value for common factors is 450.
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 = 161143683876000/(1x450)
LCM = 161143683876000/450
LCM = 358097075280
Thus, we can understand that the LCM of 816,430,537,945,905 is 358097075280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 816, 430, 537, 945, 905?
Answer: LCM of 816, 430, 537, 945, 905 is 358097075280.
2. How to calculate the LCM of 816, 430, 537, 945, 905?
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 816, 430, 537, 945, 905.
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}.