Find the LCM of 793, 280, 327, 156, 895 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 793, 280, 327, 156, 895. So, keep reading to learn more.
Given numbers are 793,280,327,156,895
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 793,280,327,156,895 is 12996667320.
Find LCM of 793,280,327,156,895 with Prime Factorization
2 | 793, 280, 327, 156, 895 |
2 | 793, 140, 327, 78, 895 |
3 | 793, 70, 327, 39, 895 |
5 | 793, 70, 109, 13, 895 |
13 | 793, 14, 109, 13, 179 |
61, 14, 109, 1, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 61 x 14 x 109 x 1 x 179 = 12996667320
Therefore, the lowest common multiple of 793,280,327,156,895 is 12996667320.
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.
793 x 280 x 327 x 156 x 895 = 10137400509600
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.
793 : 1, 13, 61, 793
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
327 : 1, 3, 109, 327
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
895 : 1, 5, 179, 895
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,280,327,156,895, is 1.
Now, the common factors can be found like this.
793:13x 61
280:2x 2x 2x 5x 7
327:3x 109
156:2x 2x 3x 13
895:5x 179
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 5x 13 = 780
Therefore, the value for common factors is 780.
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 = 10137400509600/(1x780)
LCM = 10137400509600/780
LCM = 12996667320
Thus, we can understand that the LCM of 793,280,327,156,895 is 12996667320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 793, 280, 327, 156, 895?
Answer: LCM of 793, 280, 327, 156, 895 is 12996667320.
2. How to calculate the LCM of 793, 280, 327, 156, 895?
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 793, 280, 327, 156, 895.
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}.