Find the LCM of 330, 638, 105, 685 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 330, 638, 105, 685. So, keep reading to learn more.
Given numbers are 330,638,105,685
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 330,638,105,685 is 9177630.
Find LCM of 330,638,105,685 with Prime Factorization
2 | 330, 638, 105, 685 |
3 | 165, 319, 105, 685 |
5 | 55, 319, 35, 685 |
11 | 11, 319, 7, 137 |
1, 29, 7, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 1 x 29 x 7 x 137 = 9177630
Therefore, the lowest common multiple of 330,638,105,685 is 9177630.
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.
330 x 638 x 105 x 685 = 15143089500
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.
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
638 : 1, 2, 11, 22, 29, 58, 319, 638
105 : 1, 3, 5, 7, 15, 21, 35, 105
685 : 1, 5, 137, 685
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,638,105,685, is 1.
Now, the common factors can be found like this.
330:2x 3x 5x 11
638:2x 11x 29
105:3x 5x 7
685:5x 137
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 5x 5x 11 = 1650
Therefore, the value for common factors is 1650.
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 = 15143089500/(1x1650)
LCM = 15143089500/1650
LCM = 9177630
Thus, we can understand that the LCM of 330,638,105,685 is 9177630.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 330, 638, 105, 685?
Answer: LCM of 330, 638, 105, 685 is 9177630.
2. How to calculate the LCM of 330, 638, 105, 685?
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 330, 638, 105, 685.
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}.