Find the LCM of 473, 264, 856, 214 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 473, 264, 856, 214. So, keep reading to learn more.
Given numbers are 473,264,856,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 473,264,856,214 is 1214664.
Find LCM of 473,264,856,214 with Prime Factorization
2 | 473, 264, 856, 214 |
2 | 473, 132, 428, 107 |
2 | 473, 66, 214, 107 |
11 | 473, 33, 107, 107 |
107 | 43, 3, 107, 107 |
43, 3, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 107 x 43 x 3 x 1 x 1 = 1214664
Therefore, the lowest common multiple of 473,264,856,214 is 1214664.
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.
473 x 264 x 856 x 214 = 22874552448
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.
473 : 1, 11, 43, 473
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
856 : 1, 2, 4, 8, 107, 214, 428, 856
214 : 1, 2, 107, 214
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,264,856,214, is 1.
Now, the common factors can be found like this.
473:11x 43
264:2x 2x 2x 3x 11
856:2x 2x 2x 107
214:2x 107
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 11x 107 = 18832
Therefore, the value for common factors is 18832.
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 = 22874552448/(1x18832)
LCM = 22874552448/18832
LCM = 1214664
Thus, we can understand that the LCM of 473,264,856,214 is 1214664.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 473, 264, 856, 214?
Answer: LCM of 473, 264, 856, 214 is 1214664.
2. How to calculate the LCM of 473, 264, 856, 214?
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 473, 264, 856, 214.
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}.