Find the LCM of 816, 832, 301, 982, 982 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, 832, 301, 982, 982. So, keep reading to learn more.
Given numbers are 816,832,301,982,982
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,832,301,982,982 is 6271067712.
Find LCM of 816,832,301,982,982 with Prime Factorization
2 | 816, 832, 301, 982, 982 |
2 | 408, 416, 301, 491, 491 |
2 | 204, 208, 301, 491, 491 |
2 | 102, 104, 301, 491, 491 |
491 | 51, 52, 301, 491, 491 |
51, 52, 301, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 491 x 51 x 52 x 301 x 1 x 1 = 6271067712
Therefore, the lowest common multiple of 816,832,301,982,982 is 6271067712.
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 832 x 301 x 982 x 982 = 197062031781888
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
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
301 : 1, 7, 43, 301
982 : 1, 2, 491, 982
982 : 1, 2, 491, 982
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,832,301,982,982, is 1.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
832:2x 2x 2x 2x 2x 2x 13
301:7x 43
982:2x 491
982:2x 491
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 2x 2x 2x 2x 491 = 31424
Therefore, the value for common factors is 31424.
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 = 197062031781888/(1x31424)
LCM = 197062031781888/31424
LCM = 6271067712
Thus, we can understand that the LCM of 816,832,301,982,982 is 6271067712.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 816, 832, 301, 982, 982?
Answer: LCM of 816, 832, 301, 982, 982 is 6271067712.
2. How to calculate the LCM of 816, 832, 301, 982, 982?
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, 832, 301, 982, 982.
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}.