Find the LCM of 133, 217, 443, 817, 767 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 133, 217, 443, 817, 767. So, keep reading to learn more.
Given numbers are 133,217,443,817,767
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 133,217,443,817,767 is 60239433709.
Find LCM of 133,217,443,817,767 with Prime Factorization
7 | 133, 217, 443, 817, 767 |
19 | 19, 31, 443, 817, 767 |
1, 31, 443, 43, 767 |
Multiply the prime numbers at the bottom and the left side.
7 x 19 x 1 x 31 x 443 x 43 x 767 = 60239433709
Therefore, the lowest common multiple of 133,217,443,817,767 is 60239433709.
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.
133 x 217 x 443 x 817 x 767 = 8011844683297
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.
133 : 1, 7, 19, 133
217 : 1, 7, 31, 217
443 : 1, 443
817 : 1, 19, 43, 817
767 : 1, 13, 59, 767
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 133,217,443,817,767, is 1.
Now, the common factors can be found like this.
133:7x 19
217:7x 31
443:443
817:19x 43
767:13x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 19 = 133
Therefore, the value for common factors is 133.
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 = 8011844683297/(1x133)
LCM = 8011844683297/133
LCM = 60239433709
Thus, we can understand that the LCM of 133,217,443,817,767 is 60239433709.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 133, 217, 443, 817, 767?
Answer: LCM of 133, 217, 443, 817, 767 is 60239433709.
2. How to calculate the LCM of 133, 217, 443, 817, 767?
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 133, 217, 443, 817, 767.
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}.