Find the LCM of 157, 815, 450, 806, 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 157, 815, 450, 806, 558. So, keep reading to learn more.
Given numbers are 157,815,450,806,558
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 157,815,450,806,558 is 4640927850.
Find LCM of 157,815,450,806,558 with Prime Factorization
2 | 157, 815, 450, 806, 558 |
3 | 157, 815, 225, 403, 279 |
3 | 157, 815, 75, 403, 93 |
5 | 157, 815, 25, 403, 31 |
31 | 157, 163, 5, 403, 31 |
157, 163, 5, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 31 x 157 x 163 x 5 x 13 x 1 = 4640927850
Therefore, the lowest common multiple of 157,815,450,806,558 is 4640927850.
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.
157 x 815 x 450 x 806 x 558 = 25896377403000
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.
157 : 1, 157
815 : 1, 5, 163, 815
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
806 : 1, 2, 13, 26, 31, 62, 403, 806
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 157,815,450,806,558, is 1.
Now, the common factors can be found like this.
157:157
815:5x 163
450:2x 3x 3x 5x 5
806:2x 13x 31
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 2x 3x 3x 5x 31 = 5580
Therefore, the value for common factors is 5580.
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 = 25896377403000/(1x5580)
LCM = 25896377403000/5580
LCM = 4640927850
Thus, we can understand that the LCM of 157,815,450,806,558 is 4640927850.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 157, 815, 450, 806, 558?
Answer: LCM of 157, 815, 450, 806, 558 is 4640927850.
2. How to calculate the LCM of 157, 815, 450, 806, 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 157, 815, 450, 806, 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}.