Find the LCM of 212, 978, 864, 407, 326 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 212, 978, 864, 407, 326. So, keep reading to learn more.
Given numbers are 212,978,864,407,326
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 212,978,864,407,326 is 3037887072.
Find LCM of 212,978,864,407,326 with Prime Factorization
2 | 212, 978, 864, 407, 326 |
2 | 106, 489, 432, 407, 163 |
3 | 53, 489, 216, 407, 163 |
163 | 53, 163, 72, 407, 163 |
53, 1, 72, 407, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 163 x 53 x 1 x 72 x 407 x 1 = 3037887072
Therefore, the lowest common multiple of 212,978,864,407,326 is 3037887072.
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.
212 x 978 x 864 x 407 x 326 = 23768428451328
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.
212 : 1, 2, 4, 53, 106, 212
978 : 1, 2, 3, 6, 163, 326, 489, 978
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
407 : 1, 11, 37, 407
326 : 1, 2, 163, 326
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,978,864,407,326, is 1.
Now, the common factors can be found like this.
212:2x 2x 53
978:2x 3x 163
864:2x 2x 2x 2x 2x 3x 3x 3
407:11x 37
326:2x 163
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 3x 163 = 7824
Therefore, the value for common factors is 7824.
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 = 23768428451328/(1x7824)
LCM = 23768428451328/7824
LCM = 3037887072
Thus, we can understand that the LCM of 212,978,864,407,326 is 3037887072.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 212, 978, 864, 407, 326?
Answer: LCM of 212, 978, 864, 407, 326 is 3037887072.
2. How to calculate the LCM of 212, 978, 864, 407, 326?
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 212, 978, 864, 407, 326.
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}.