Find the LCM of 702, 283, 362, 819 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 702, 283, 362, 819. So, keep reading to learn more.
Given numbers are 702,283,362,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 702,283,362,819 is 251709822.
Find LCM of 702,283,362,819 with Prime Factorization
2 | 702, 283, 362, 819 |
3 | 351, 283, 181, 819 |
3 | 117, 283, 181, 273 |
13 | 39, 283, 181, 91 |
3, 283, 181, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 3 x 283 x 181 x 7 = 251709822
Therefore, the lowest common multiple of 702,283,362,819 is 251709822.
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.
702 x 283 x 362 x 819 = 58900098348
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.
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
283 : 1, 283
362 : 1, 2, 181, 362
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,283,362,819, is 1.
Now, the common factors can be found like this.
702:2x 3x 3x 3x 13
283:283
362:2x 181
819:3x 3x 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 3x 3x 13 = 234
Therefore, the value for common factors is 234.
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 = 58900098348/(1x234)
LCM = 58900098348/234
LCM = 251709822
Thus, we can understand that the LCM of 702,283,362,819 is 251709822.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 702, 283, 362, 819?
Answer: LCM of 702, 283, 362, 819 is 251709822.
2. How to calculate the LCM of 702, 283, 362, 819?
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 702, 283, 362, 819.
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}.