Find the LCM of 361, 614, 990, 612, 657 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 361, 614, 990, 612, 657. So, keep reading to learn more.
Given numbers are 361,614,990,612,657
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 361,614,990,612,657 is 272321887860.
Find LCM of 361,614,990,612,657 with Prime Factorization
2 | 361, 614, 990, 612, 657 |
3 | 361, 307, 495, 306, 657 |
3 | 361, 307, 165, 102, 219 |
361, 307, 55, 34, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 361 x 307 x 55 x 34 x 73 = 272321887860
Therefore, the lowest common multiple of 361,614,990,612,657 is 272321887860.
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.
361 x 614 x 990 x 612 x 657 = 88232291666640
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.
361 : 1, 19, 361
614 : 1, 2, 307, 614
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
657 : 1, 3, 9, 73, 219, 657
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,614,990,612,657, is 1.
Now, the common factors can be found like this.
361:19x 19
614:2x 307
990:2x 3x 3x 5x 11
612:2x 2x 3x 3x 17
657:3x 3x 73
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 3x 3 = 324
Therefore, the value for common factors is 324.
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 = 88232291666640/(1x324)
LCM = 88232291666640/324
LCM = 272321887860
Thus, we can understand that the LCM of 361,614,990,612,657 is 272321887860.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 361, 614, 990, 612, 657?
Answer: LCM of 361, 614, 990, 612, 657 is 272321887860.
2. How to calculate the LCM of 361, 614, 990, 612, 657?
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 361, 614, 990, 612, 657.
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}.