Find the LCM of 828, 682, 978, 781, 213 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 828, 682, 978, 781, 213. So, keep reading to learn more.
Given numbers are 828,682,978,781,213
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,682,978,781,213 is 3267613404.
Find LCM of 828,682,978,781,213 with Prime Factorization
2 | 828, 682, 978, 781, 213 |
3 | 414, 341, 489, 781, 213 |
11 | 138, 341, 163, 781, 71 |
71 | 138, 31, 163, 71, 71 |
138, 31, 163, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 71 x 138 x 31 x 163 x 1 x 1 = 3267613404
Therefore, the lowest common multiple of 828,682,978,781,213 is 3267613404.
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.
828 x 682 x 978 x 781 x 213 = 91872218466864
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.
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
682 : 1, 2, 11, 22, 31, 62, 341, 682
978 : 1, 2, 3, 6, 163, 326, 489, 978
781 : 1, 11, 71, 781
213 : 1, 3, 71, 213
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,682,978,781,213, is 1.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
682:2x 11x 31
978:2x 3x 163
781:11x 71
213:3x 71
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 11x 71 = 28116
Therefore, the value for common factors is 28116.
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 = 91872218466864/(1x28116)
LCM = 91872218466864/28116
LCM = 3267613404
Thus, we can understand that the LCM of 828,682,978,781,213 is 3267613404.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 828, 682, 978, 781, 213?
Answer: LCM of 828, 682, 978, 781, 213 is 3267613404.
2. How to calculate the LCM of 828, 682, 978, 781, 213?
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 828, 682, 978, 781, 213.
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}.