Find the LCM of 451, 610, 671, 133, 465 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 451, 610, 671, 133, 465. So, keep reading to learn more.
Given numbers are 451,610,671,133,465
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 451,610,671,133,465 is 3402835590.
Find LCM of 451,610,671,133,465 with Prime Factorization
5 | 451, 610, 671, 133, 465 |
11 | 451, 122, 671, 133, 93 |
61 | 41, 122, 61, 133, 93 |
41, 2, 1, 133, 93 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 61 x 41 x 2 x 1 x 133 x 93 = 3402835590
Therefore, the lowest common multiple of 451,610,671,133,465 is 3402835590.
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.
451 x 610 x 671 x 133 x 465 = 11416513404450
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.
451 : 1, 11, 41, 451
610 : 1, 2, 5, 10, 61, 122, 305, 610
671 : 1, 11, 61, 671
133 : 1, 7, 19, 133
465 : 1, 3, 5, 15, 31, 93, 155, 465
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 451,610,671,133,465, is 1.
Now, the common factors can be found like this.
451:11x 41
610:2x 5x 61
671:11x 61
133:7x 19
465:3x 5x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 11x 61 = 3355
Therefore, the value for common factors is 3355.
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 = 11416513404450/(1x3355)
LCM = 11416513404450/3355
LCM = 3402835590
Thus, we can understand that the LCM of 451,610,671,133,465 is 3402835590.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 451, 610, 671, 133, 465?
Answer: LCM of 451, 610, 671, 133, 465 is 3402835590.
2. How to calculate the LCM of 451, 610, 671, 133, 465?
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 451, 610, 671, 133, 465.
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}.