Find the LCM of 118, 547, 396, 583, 324 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 118, 547, 396, 583, 324. So, keep reading to learn more.
Given numbers are 118,547,396,583,324
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 118,547,396,583,324 is 6096111516.
Find LCM of 118,547,396,583,324 with Prime Factorization
2 | 118, 547, 396, 583, 324 |
2 | 59, 547, 198, 583, 162 |
3 | 59, 547, 99, 583, 81 |
3 | 59, 547, 33, 583, 27 |
11 | 59, 547, 11, 583, 9 |
59, 547, 1, 53, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 59 x 547 x 1 x 53 x 9 = 6096111516
Therefore, the lowest common multiple of 118,547,396,583,324 is 6096111516.
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.
118 x 547 x 396 x 583 x 324 = 4828120320672
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.
118 : 1, 2, 59, 118
547 : 1, 547
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
583 : 1, 11, 53, 583
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 118,547,396,583,324, is 1.
Now, the common factors can be found like this.
118:2x 59
547:547
396:2x 2x 3x 3x 11
583:11x 53
324:2x 2x 3x 3x 3x 3
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 3x 3x 11 = 792
Therefore, the value for common factors is 792.
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 = 4828120320672/(1x792)
LCM = 4828120320672/792
LCM = 6096111516
Thus, we can understand that the LCM of 118,547,396,583,324 is 6096111516.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 118, 547, 396, 583, 324?
Answer: LCM of 118, 547, 396, 583, 324 is 6096111516.
2. How to calculate the LCM of 118, 547, 396, 583, 324?
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 118, 547, 396, 583, 324.
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}.