Find the LCM of 486, 909, 104, 396, 962 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 486, 909, 104, 396, 962. So, keep reading to learn more.
Given numbers are 486,909,104,396,962
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 486,909,104,396,962 is 1038856104.
Find LCM of 486,909,104,396,962 with Prime Factorization
2 | 486, 909, 104, 396, 962 |
2 | 243, 909, 52, 198, 481 |
3 | 243, 909, 26, 99, 481 |
3 | 81, 303, 26, 33, 481 |
13 | 27, 101, 26, 11, 481 |
27, 101, 2, 11, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 27 x 101 x 2 x 11 x 37 = 1038856104
Therefore, the lowest common multiple of 486,909,104,396,962 is 1038856104.
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.
486 x 909 x 104 x 396 x 962 = 17502647640192
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.
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
909 : 1, 3, 9, 101, 303, 909
104 : 1, 2, 4, 8, 13, 26, 52, 104
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
962 : 1, 2, 13, 26, 37, 74, 481, 962
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,909,104,396,962, is 1.
Now, the common factors can be found like this.
486:2x 3x 3x 3x 3x 3
909:3x 3x 101
104:2x 2x 2x 13
396:2x 2x 3x 3x 11
962:2x 13x 37
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 3x 3x 3x 3x 13 = 16848
Therefore, the value for common factors is 16848.
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 = 17502647640192/(1x16848)
LCM = 17502647640192/16848
LCM = 1038856104
Thus, we can understand that the LCM of 486,909,104,396,962 is 1038856104.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 486, 909, 104, 396, 962?
Answer: LCM of 486, 909, 104, 396, 962 is 1038856104.
2. How to calculate the LCM of 486, 909, 104, 396, 962?
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 486, 909, 104, 396, 962.
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}.