Find the LCM of 139, 695, 454, 988, 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 139, 695, 454, 988, 986. So, keep reading to learn more.
Given numbers are 139,695,454,988,986
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 139,695,454,988,986 is 76844807260.
Find LCM of 139,695,454,988,986 with Prime Factorization
2 | 139, 695, 454, 988, 986 |
139 | 139, 695, 227, 494, 493 |
1, 5, 227, 494, 493 |
Multiply the prime numbers at the bottom and the left side.
2 x 139 x 1 x 5 x 227 x 494 x 493 = 76844807260
Therefore, the lowest common multiple of 139,695,454,988,986 is 76844807260.
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.
139 x 695 x 454 x 988 x 986 = 42725712836560
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.
139 : 1, 139
695 : 1, 5, 139, 695
454 : 1, 2, 227, 454
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
986 : 1, 2, 17, 29, 34, 58, 493, 986
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 139,695,454,988,986, is 1.
Now, the common factors can be found like this.
139:139
695:5x 139
454:2x 227
988:2x 2x 13x 19
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 139 = 556
Therefore, the value for common factors is 556.
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 = 42725712836560/(1x556)
LCM = 42725712836560/556
LCM = 76844807260
Thus, we can understand that the LCM of 139,695,454,988,986 is 76844807260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 139, 695, 454, 988, 986?
Answer: LCM of 139, 695, 454, 988, 986 is 76844807260.
2. How to calculate the LCM of 139, 695, 454, 988, 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 139, 695, 454, 988, 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}.