Find the LCM of 159, 844, 559, 143, 558 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 159, 844, 559, 143, 558. So, keep reading to learn more.
Given numbers are 159,844,559,143,558
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 159,844,559,143,558 is 76740921972.
Find LCM of 159,844,559,143,558 with Prime Factorization
2 | 159, 844, 559, 143, 558 |
3 | 159, 422, 559, 143, 279 |
13 | 53, 422, 559, 143, 93 |
53, 422, 43, 11, 93 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 53 x 422 x 43 x 11 x 93 = 76740921972
Therefore, the lowest common multiple of 159,844,559,143,558 is 76740921972.
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.
159 x 844 x 559 x 143 x 558 = 5985791913816
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.
159 : 1, 3, 53, 159
844 : 1, 2, 4, 211, 422, 844
559 : 1, 13, 43, 559
143 : 1, 11, 13, 143
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 159,844,559,143,558, is 1.
Now, the common factors can be found like this.
159:3x 53
844:2x 2x 211
559:13x 43
143:11x 13
558:2x 3x 3x 31
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 13 = 78
Therefore, the value for common factors is 78.
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 = 5985791913816/(1x78)
LCM = 5985791913816/78
LCM = 76740921972
Thus, we can understand that the LCM of 159,844,559,143,558 is 76740921972.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 159, 844, 559, 143, 558?
Answer: LCM of 159, 844, 559, 143, 558 is 76740921972.
2. How to calculate the LCM of 159, 844, 559, 143, 558?
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 159, 844, 559, 143, 558.
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}.