Find the LCM of 407, 214, 626, 112, 264 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 407, 214, 626, 112, 264. So, keep reading to learn more.
Given numbers are 407,214,626,112,264
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 407,214,626,112,264 is 4579961232.
Find LCM of 407,214,626,112,264 with Prime Factorization
2 | 407, 214, 626, 112, 264 |
2 | 407, 107, 313, 56, 132 |
2 | 407, 107, 313, 28, 66 |
11 | 407, 107, 313, 14, 33 |
37, 107, 313, 14, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 37 x 107 x 313 x 14 x 3 = 4579961232
Therefore, the lowest common multiple of 407,214,626,112,264 is 4579961232.
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.
407 x 214 x 626 x 112 x 264 = 1612146353664
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.
407 : 1, 11, 37, 407
214 : 1, 2, 107, 214
626 : 1, 2, 313, 626
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,214,626,112,264, is 1.
Now, the common factors can be found like this.
407:11x 37
214:2x 107
626:2x 313
112:2x 2x 2x 2x 7
264:2x 2x 2x 3x 11
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 2x 2x 11 = 352
Therefore, the value for common factors is 352.
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 = 1612146353664/(1x352)
LCM = 1612146353664/352
LCM = 4579961232
Thus, we can understand that the LCM of 407,214,626,112,264 is 4579961232.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 407, 214, 626, 112, 264?
Answer: LCM of 407, 214, 626, 112, 264 is 4579961232.
2. How to calculate the LCM of 407, 214, 626, 112, 264?
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 407, 214, 626, 112, 264.
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}.