Find the LCM of 214, 864, 396, 264, 546 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 214, 864, 396, 264, 546. So, keep reading to learn more.
Given numbers are 214,864,396,264,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 214,864,396,264,546 is 92540448.
Find LCM of 214,864,396,264,546 with Prime Factorization
2 | 214, 864, 396, 264, 546 |
2 | 107, 432, 198, 132, 273 |
2 | 107, 216, 99, 66, 273 |
3 | 107, 108, 99, 33, 273 |
3 | 107, 36, 11, 33, 91 |
11 | 107, 12, 11, 11, 91 |
107, 12, 1, 1, 91 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 11 x 107 x 12 x 1 x 1 x 91 = 92540448
Therefore, the lowest common multiple of 214,864,396,264,546 is 92540448.
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.
214 x 864 x 396 x 264 x 546 = 10554053013504
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.
214 : 1, 2, 107, 214
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,864,396,264,546, is 2.
Now, the common factors can be found like this.
214:2x 107
864:2x 2x 2x 2x 2x 3x 3x 3
396:2x 2x 3x 3x 11
264:2x 2x 2x 3x 11
546:2x 3x 7x 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 2x 2x 2x 3x 3x 3x 3x 11 = 57024
Therefore, the value for common factors is 57024.
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 = 10554053013504/(2x57024)
LCM = 10554053013504/114048
LCM = 92540448
Thus, we can understand that the LCM of 214,864,396,264,546 is 92540448.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 214, 864, 396, 264, 546?
Answer: LCM of 214, 864, 396, 264, 546 is 92540448.
2. How to calculate the LCM of 214, 864, 396, 264, 546?
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 214, 864, 396, 264, 546.
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}.