Find the LCM of 318, 325, 286, 793, 728 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 318, 325, 286, 793, 728. So, keep reading to learn more.
Given numbers are 318,325,286,793,728
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 318,325,286,793,728 is 1941739800.
Find LCM of 318,325,286,793,728 with Prime Factorization
2 | 318, 325, 286, 793, 728 |
13 | 159, 325, 143, 793, 364 |
159, 25, 11, 61, 28 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 159 x 25 x 11 x 61 x 28 = 1941739800
Therefore, the lowest common multiple of 318,325,286,793,728 is 1941739800.
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.
318 x 325 x 286 x 793 x 728 = 17064009362400
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.
318 : 1, 2, 3, 6, 53, 106, 159, 318
325 : 1, 5, 13, 25, 65, 325
286 : 1, 2, 11, 13, 22, 26, 143, 286
793 : 1, 13, 61, 793
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,325,286,793,728, is 1.
Now, the common factors can be found like this.
318:2x 3x 53
325:5x 5x 13
286:2x 11x 13
793:13x 61
728:2x 2x 2x 7x 13
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 13x 13x 13 = 8788
Therefore, the value for common factors is 8788.
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 = 17064009362400/(1x8788)
LCM = 17064009362400/8788
LCM = 1941739800
Thus, we can understand that the LCM of 318,325,286,793,728 is 1941739800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 318, 325, 286, 793, 728?
Answer: LCM of 318, 325, 286, 793, 728 is 1941739800.
2. How to calculate the LCM of 318, 325, 286, 793, 728?
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 318, 325, 286, 793, 728.
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}.