Find the LCM of 195, 323, 894, 290, 612 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 195, 323, 894, 290, 612. So, keep reading to learn more.
Given numbers are 195,323,894,290,612
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 195,323,894,290,612 is 3265898220.
Find LCM of 195,323,894,290,612 with Prime Factorization
2 | 195, 323, 894, 290, 612 |
3 | 195, 323, 447, 145, 306 |
5 | 65, 323, 149, 145, 102 |
17 | 13, 323, 149, 29, 102 |
13, 19, 149, 29, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 13 x 19 x 149 x 29 x 6 = 3265898220
Therefore, the lowest common multiple of 195,323,894,290,612 is 3265898220.
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.
195 x 323 x 894 x 290 x 612 = 9993648553200
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.
195 : 1, 3, 5, 13, 15, 39, 65, 195
323 : 1, 17, 19, 323
894 : 1, 2, 3, 6, 149, 298, 447, 894
290 : 1, 2, 5, 10, 29, 58, 145, 290
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 195,323,894,290,612, is 1.
Now, the common factors can be found like this.
195:3x 5x 13
323:17x 19
894:2x 3x 149
290:2x 5x 29
612:2x 2x 3x 3x 17
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 3x 5x 17 = 3060
Therefore, the value for common factors is 3060.
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 = 9993648553200/(1x3060)
LCM = 9993648553200/3060
LCM = 3265898220
Thus, we can understand that the LCM of 195,323,894,290,612 is 3265898220.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 195, 323, 894, 290, 612?
Answer: LCM of 195, 323, 894, 290, 612 is 3265898220.
2. How to calculate the LCM of 195, 323, 894, 290, 612?
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 195, 323, 894, 290, 612.
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}.