Find the LCM of 321, 200, 662, 910, 105 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 321, 200, 662, 910, 105. So, keep reading to learn more.
Given numbers are 321,200,662,910,105
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,200,662,910,105 is 1933768200.
Find LCM of 321,200,662,910,105 with Prime Factorization
2 | 321, 200, 662, 910, 105 |
3 | 321, 100, 331, 455, 105 |
5 | 107, 100, 331, 455, 35 |
7 | 107, 20, 331, 91, 7 |
107, 20, 331, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 107 x 20 x 331 x 13 x 1 = 1933768200
Therefore, the lowest common multiple of 321,200,662,910,105 is 1933768200.
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.
321 x 200 x 662 x 910 x 105 = 4060913220000
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.
321 : 1, 3, 107, 321
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
662 : 1, 2, 331, 662
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
105 : 1, 3, 5, 7, 15, 21, 35, 105
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,200,662,910,105, is 1.
Now, the common factors can be found like this.
321:3x 107
200:2x 2x 2x 5x 5
662:2x 331
910:2x 5x 7x 13
105:3x 5x 7
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 5x 5x 7 = 2100
Therefore, the value for common factors is 2100.
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 = 4060913220000/(1x2100)
LCM = 4060913220000/2100
LCM = 1933768200
Thus, we can understand that the LCM of 321,200,662,910,105 is 1933768200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 321, 200, 662, 910, 105?
Answer: LCM of 321, 200, 662, 910, 105 is 1933768200.
2. How to calculate the LCM of 321, 200, 662, 910, 105?
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 321, 200, 662, 910, 105.
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}.