Find the LCM of 460, 839, 585, 437, 385 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 460, 839, 585, 437, 385. So, keep reading to learn more.
Given numbers are 460,839,585,437,385
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 460,839,585,437,385 is 66061735740.
Find LCM of 460,839,585,437,385 with Prime Factorization
5 | 460, 839, 585, 437, 385 |
23 | 92, 839, 117, 437, 77 |
4, 839, 117, 19, 77 |
Multiply the prime numbers at the bottom and the left side.
5 x 23 x 4 x 839 x 117 x 19 x 77 = 66061735740
Therefore, the lowest common multiple of 460,839,585,437,385 is 66061735740.
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.
460 x 839 x 585 x 437 x 385 = 37985498050500
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.
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
839 : 1, 839
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
437 : 1, 19, 23, 437
385 : 1, 5, 7, 11, 35, 55, 77, 385
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,839,585,437,385, is 1.
Now, the common factors can be found like this.
460:2x 2x 5x 23
839:839
585:3x 3x 5x 13
437:19x 23
385:5x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 23 = 575
Therefore, the value for common factors is 575.
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 = 37985498050500/(1x575)
LCM = 37985498050500/575
LCM = 66061735740
Thus, we can understand that the LCM of 460,839,585,437,385 is 66061735740.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 460, 839, 585, 437, 385?
Answer: LCM of 460, 839, 585, 437, 385 is 66061735740.
2. How to calculate the LCM of 460, 839, 585, 437, 385?
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 460, 839, 585, 437, 385.
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}.