Find the LCM of 730, 182, 920, 214, 874 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 730, 182, 920, 214, 874. So, keep reading to learn more.
Given numbers are 730,182,920,214,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 730,182,920,214,874 is 12424801480.
Find LCM of 730,182,920,214,874 with Prime Factorization
2 | 730, 182, 920, 214, 874 |
5 | 365, 91, 460, 107, 437 |
23 | 73, 91, 92, 107, 437 |
73, 91, 4, 107, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 23 x 73 x 91 x 4 x 107 x 19 = 12424801480
Therefore, the lowest common multiple of 730,182,920,214,874 is 12424801480.
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.
730 x 182 x 920 x 214 x 874 = 22861634723200
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.
730 : 1, 2, 5, 10, 73, 146, 365, 730
182 : 1, 2, 7, 13, 14, 26, 91, 182
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
214 : 1, 2, 107, 214
874 : 1, 2, 19, 23, 38, 46, 437, 874
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,182,920,214,874, is 2.
Now, the common factors can be found like this.
730:2x 5x 73
182:2x 7x 13
920:2x 2x 2x 5x 23
214:2x 107
874:2x 19x 23
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 2x 5x 23 = 920
Therefore, the value for common factors is 920.
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 = 22861634723200/(2x920)
LCM = 22861634723200/1840
LCM = 12424801480
Thus, we can understand that the LCM of 730,182,920,214,874 is 12424801480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 730, 182, 920, 214, 874?
Answer: LCM of 730, 182, 920, 214, 874 is 12424801480.
2. How to calculate the LCM of 730, 182, 920, 214, 874?
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 730, 182, 920, 214, 874.
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}.