Find the LCM of 181, 606, 420, 955, 717 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 181, 606, 420, 955, 717. So, keep reading to learn more.
Given numbers are 181,606,420,955,717
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 181,606,420,955,717 is 350493934980.
Find LCM of 181,606,420,955,717 with Prime Factorization
2 | 181, 606, 420, 955, 717 |
3 | 181, 303, 210, 955, 717 |
5 | 181, 101, 70, 955, 239 |
181, 101, 14, 191, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 181 x 101 x 14 x 191 x 239 = 350493934980
Therefore, the lowest common multiple of 181,606,420,955,717 is 350493934980.
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.
181 x 606 x 420 x 955 x 717 = 31544454148200
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.
181 : 1, 181
606 : 1, 2, 3, 6, 101, 202, 303, 606
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
955 : 1, 5, 191, 955
717 : 1, 3, 239, 717
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 181,606,420,955,717, is 1.
Now, the common factors can be found like this.
181:181
606:2x 3x 101
420:2x 2x 3x 5x 7
955:5x 191
717:3x 239
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 5 = 90
Therefore, the value for common factors is 90.
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 = 31544454148200/(1x90)
LCM = 31544454148200/90
LCM = 350493934980
Thus, we can understand that the LCM of 181,606,420,955,717 is 350493934980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 181, 606, 420, 955, 717?
Answer: LCM of 181, 606, 420, 955, 717 is 350493934980.
2. How to calculate the LCM of 181, 606, 420, 955, 717?
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 181, 606, 420, 955, 717.
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}.