Find the LCM of 396, 278, 717, 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 396, 278, 717, 612. So, keep reading to learn more.
Given numbers are 396,278,717,612
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 396,278,717,612 is 223643772.
Find LCM of 396,278,717,612 with Prime Factorization
2 | 396, 278, 717, 612 |
2 | 198, 139, 717, 306 |
3 | 99, 139, 717, 153 |
3 | 33, 139, 239, 51 |
11, 139, 239, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 139 x 239 x 17 = 223643772
Therefore, the lowest common multiple of 396,278,717,612 is 223643772.
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.
396 x 278 x 717 x 612 = 48307054752
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.
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
278 : 1, 2, 139, 278
717 : 1, 3, 239, 717
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 396,278,717,612, is 1.
Now, the common factors can be found like this.
396:2x 2x 3x 3x 11
278:2x 139
717:3x 239
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 2x 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 48307054752/(1x216)
LCM = 48307054752/216
LCM = 223643772
Thus, we can understand that the LCM of 396,278,717,612 is 223643772.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 396, 278, 717, 612?
Answer: LCM of 396, 278, 717, 612 is 223643772.
2. How to calculate the LCM of 396, 278, 717, 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 396, 278, 717, 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}.