Find the LCM of 986, 958, 718, 561, 454 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 986, 958, 718, 561, 454. So, keep reading to learn more.
Given numbers are 986,958,718,561,454
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,958,718,561,454 is 1270125613086.
Find LCM of 986,958,718,561,454 with Prime Factorization
2 | 986, 958, 718, 561, 454 |
17 | 493, 479, 359, 561, 227 |
29, 479, 359, 33, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 29 x 479 x 359 x 33 x 227 = 1270125613086
Therefore, the lowest common multiple of 986,958,718,561,454 is 1270125613086.
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.
986 x 958 x 718 x 561 x 454 = 172737083379696
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.
986 : 1, 2, 17, 29, 34, 58, 493, 986
958 : 1, 2, 479, 958
718 : 1, 2, 359, 718
561 : 1, 3, 11, 17, 33, 51, 187, 561
454 : 1, 2, 227, 454
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,958,718,561,454, is 1.
Now, the common factors can be found like this.
986:2x 17x 29
958:2x 479
718:2x 359
561:3x 11x 17
454:2x 227
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 17 = 136
Therefore, the value for common factors is 136.
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 = 172737083379696/(1x136)
LCM = 172737083379696/136
LCM = 1270125613086
Thus, we can understand that the LCM of 986,958,718,561,454 is 1270125613086.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 986, 958, 718, 561, 454?
Answer: LCM of 986, 958, 718, 561, 454 is 1270125613086.
2. How to calculate the LCM of 986, 958, 718, 561, 454?
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 986, 958, 718, 561, 454.
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}.