Find the LCM of 245, 638, 671, 670, 114 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 245, 638, 671, 670, 114. So, keep reading to learn more.
Given numbers are 245,638,671,670,114
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 245,638,671,670,114 is 36413821290.
Find LCM of 245,638,671,670,114 with Prime Factorization
2 | 245, 638, 671, 670, 114 |
5 | 245, 319, 671, 335, 57 |
11 | 49, 319, 671, 67, 57 |
49, 29, 61, 67, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 49 x 29 x 61 x 67 x 57 = 36413821290
Therefore, the lowest common multiple of 245,638,671,670,114 is 36413821290.
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.
245 x 638 x 671 x 670 x 114 = 8011040683800
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.
245 : 1, 5, 7, 35, 49, 245
638 : 1, 2, 11, 22, 29, 58, 319, 638
671 : 1, 11, 61, 671
670 : 1, 2, 5, 10, 67, 134, 335, 670
114 : 1, 2, 3, 6, 19, 38, 57, 114
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 245,638,671,670,114, is 1.
Now, the common factors can be found like this.
245:5x 7x 7
638:2x 11x 29
671:11x 61
670:2x 5x 67
114:2x 3x 19
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 5x 11 = 220
Therefore, the value for common factors is 220.
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 = 8011040683800/(1x220)
LCM = 8011040683800/220
LCM = 36413821290
Thus, we can understand that the LCM of 245,638,671,670,114 is 36413821290.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 245, 638, 671, 670, 114?
Answer: LCM of 245, 638, 671, 670, 114 is 36413821290.
2. How to calculate the LCM of 245, 638, 671, 670, 114?
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 245, 638, 671, 670, 114.
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}.