Find the LCM of 584, 537, 103, 867, 376 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 584, 537, 103, 867, 376. So, keep reading to learn more.
Given numbers are 584,537,103,867,376
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 584,537,103,867,376 is 438752958792.
Find LCM of 584,537,103,867,376 with Prime Factorization
2 | 584, 537, 103, 867, 376 |
2 | 292, 537, 103, 867, 188 |
2 | 146, 537, 103, 867, 94 |
3 | 73, 537, 103, 867, 47 |
73, 179, 103, 289, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 73 x 179 x 103 x 289 x 47 = 438752958792
Therefore, the lowest common multiple of 584,537,103,867,376 is 438752958792.
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.
584 x 537 x 103 x 867 x 376 = 10530071011008
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.
584 : 1, 2, 4, 8, 73, 146, 292, 584
537 : 1, 3, 179, 537
103 : 1, 103
867 : 1, 3, 17, 51, 289, 867
376 : 1, 2, 4, 8, 47, 94, 188, 376
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,537,103,867,376, is 1.
Now, the common factors can be found like this.
584:2x 2x 2x 73
537:3x 179
103:103
867:3x 17x 17
376:2x 2x 2x 47
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 3 = 24
Therefore, the value for common factors is 24.
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 = 10530071011008/(1x24)
LCM = 10530071011008/24
LCM = 438752958792
Thus, we can understand that the LCM of 584,537,103,867,376 is 438752958792.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 584, 537, 103, 867, 376?
Answer: LCM of 584, 537, 103, 867, 376 is 438752958792.
2. How to calculate the LCM of 584, 537, 103, 867, 376?
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 584, 537, 103, 867, 376.
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}.