Find the LCM of 308, 754, 818, 930, 986 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 308, 754, 818, 930, 986. So, keep reading to learn more.
Given numbers are 308,754,818,930,986
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 308,754,818,930,986 is 375419864820.
Find LCM of 308,754,818,930,986 with Prime Factorization
2 | 308, 754, 818, 930, 986 |
29 | 154, 377, 409, 465, 493 |
154, 13, 409, 465, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 29 x 154 x 13 x 409 x 465 x 17 = 375419864820
Therefore, the lowest common multiple of 308,754,818,930,986 is 375419864820.
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.
308 x 754 x 818 x 930 x 986 = 174194817276480
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.
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
754 : 1, 2, 13, 26, 29, 58, 377, 754
818 : 1, 2, 409, 818
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
986 : 1, 2, 17, 29, 34, 58, 493, 986
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,754,818,930,986, is 2.
Now, the common factors can be found like this.
308:2x 2x 7x 11
754:2x 13x 29
818:2x 409
930:2x 3x 5x 31
986:2x 17x 29
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 29 = 232
Therefore, the value for common factors is 232.
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 = 174194817276480/(2x232)
LCM = 174194817276480/464
LCM = 375419864820
Thus, we can understand that the LCM of 308,754,818,930,986 is 375419864820.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 308, 754, 818, 930, 986?
Answer: LCM of 308, 754, 818, 930, 986 is 375419864820.
2. How to calculate the LCM of 308, 754, 818, 930, 986?
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 308, 754, 818, 930, 986.
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}.