Find the LCM of 658, 436, 327, 462 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 658, 436, 327, 462. So, keep reading to learn more.
Given numbers are 658,436,327,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 658,436,327,462 is 4733652.
Find LCM of 658,436,327,462 with Prime Factorization
2 | 658, 436, 327, 462 |
3 | 329, 218, 327, 231 |
7 | 329, 218, 109, 77 |
109 | 47, 218, 109, 11 |
47, 2, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 109 x 47 x 2 x 1 x 11 = 4733652
Therefore, the lowest common multiple of 658,436,327,462 is 4733652.
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.
658 x 436 x 327 x 462 = 43341317712
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.
658 : 1, 2, 7, 14, 47, 94, 329, 658
436 : 1, 2, 4, 109, 218, 436
327 : 1, 3, 109, 327
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 658,436,327,462, is 1.
Now, the common factors can be found like this.
658:2x 7x 47
436:2x 2x 109
327:3x 109
462:2x 3x 7x 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 3x 7x 109 = 9156
Therefore, the value for common factors is 9156.
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 = 43341317712/(1x9156)
LCM = 43341317712/9156
LCM = 4733652
Thus, we can understand that the LCM of 658,436,327,462 is 4733652.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 658, 436, 327, 462?
Answer: LCM of 658, 436, 327, 462 is 4733652.
2. How to calculate the LCM of 658, 436, 327, 462?
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 658, 436, 327, 462.
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}.