Find the LCM of 558, 979, 801, 154 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 558, 979, 801, 154. So, keep reading to learn more.
Given numbers are 558,979,801,154
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 558,979,801,154 is 3823974.
Find LCM of 558,979,801,154 with Prime Factorization
2 | 558, 979, 801, 154 |
3 | 279, 979, 801, 77 |
3 | 93, 979, 267, 77 |
11 | 31, 979, 89, 77 |
89 | 31, 89, 89, 7 |
31, 1, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 89 x 31 x 1 x 1 x 7 = 3823974
Therefore, the lowest common multiple of 558,979,801,154 is 3823974.
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.
558 x 979 x 801 x 154 = 67386069828
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.
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
979 : 1, 11, 89, 979
801 : 1, 3, 9, 89, 267, 801
154 : 1, 2, 7, 11, 14, 22, 77, 154
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,979,801,154, is 1.
Now, the common factors can be found like this.
558:2x 3x 3x 31
979:11x 89
801:3x 3x 89
154:2x 7x 11
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 11x 89 = 17622
Therefore, the value for common factors is 17622.
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 = 67386069828/(1x17622)
LCM = 67386069828/17622
LCM = 3823974
Thus, we can understand that the LCM of 558,979,801,154 is 3823974.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 558, 979, 801, 154?
Answer: LCM of 558, 979, 801, 154 is 3823974.
2. How to calculate the LCM of 558, 979, 801, 154?
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 558, 979, 801, 154.
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}.