Find the LCM of 330, 830, 923, 198, 416 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, 830, 923, 198, 416. So, keep reading to learn more.
Given numbers are 330,830,923,198,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 330,830,923,198,416 is 1213486560.
Find LCM of 330,830,923,198,416 with Prime Factorization
2 | 330, 830, 923, 198, 416 |
3 | 165, 415, 923, 99, 208 |
5 | 55, 415, 923, 33, 208 |
11 | 11, 83, 923, 33, 208 |
13 | 1, 83, 923, 3, 208 |
1, 83, 71, 3, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 13 x 1 x 83 x 71 x 3 x 16 = 1213486560
Therefore, the lowest common multiple of 330,830,923,198,416 is 1213486560.
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 830 x 923 x 198 x 416 = 20823429369600
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
830 : 1, 2, 5, 10, 83, 166, 415, 830
923 : 1, 13, 71, 923
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,830,923,198,416, is 1.
Now, the common factors can be found like this.
330:2x 3x 5x 11
830:2x 5x 83
923:13x 71
198:2x 3x 3x 11
416:2x 2x 2x 2x 2x 13
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 3x 5x 11x 13 = 17160
Therefore, the value for common factors is 17160.
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 = 20823429369600/(1x17160)
LCM = 20823429369600/17160
LCM = 1213486560
Thus, we can understand that the LCM of 330,830,923,198,416 is 1213486560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 330, 830, 923, 198, 416?
Answer: LCM of 330, 830, 923, 198, 416 is 1213486560.
2. How to calculate the LCM of 330, 830, 923, 198, 416?
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, 830, 923, 198, 416.
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}.