Find the LCM of 688, 442, 906, 648, 591 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 688, 442, 906, 648, 591. So, keep reading to learn more.
Given numbers are 688,442,906,648,591
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,442,906,648,591 is 366360720336.
Find LCM of 688,442,906,648,591 with Prime Factorization
2 | 688, 442, 906, 648, 591 |
2 | 344, 221, 453, 324, 591 |
2 | 172, 221, 453, 162, 591 |
3 | 86, 221, 453, 81, 591 |
86, 221, 151, 27, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 86 x 221 x 151 x 27 x 197 = 366360720336
Therefore, the lowest common multiple of 688,442,906,648,591 is 366360720336.
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.
688 x 442 x 906 x 648 x 591 = 105511887456768
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.
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
442 : 1, 2, 13, 17, 26, 34, 221, 442
906 : 1, 2, 3, 6, 151, 302, 453, 906
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
591 : 1, 3, 197, 591
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,442,906,648,591, is 1.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
442:2x 13x 17
906:2x 3x 151
648:2x 2x 2x 3x 3x 3x 3
591:3x 197
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 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 105511887456768/(1x288)
LCM = 105511887456768/288
LCM = 366360720336
Thus, we can understand that the LCM of 688,442,906,648,591 is 366360720336.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 688, 442, 906, 648, 591?
Answer: LCM of 688, 442, 906, 648, 591 is 366360720336.
2. How to calculate the LCM of 688, 442, 906, 648, 591?
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 688, 442, 906, 648, 591.
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}.