Find the LCM of 722, 398, 429, 514, 585 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 722, 398, 429, 514, 585. So, keep reading to learn more.
Given numbers are 722,398,429,514,585
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,398,429,514,585 is 237613958010.
Find LCM of 722,398,429,514,585 with Prime Factorization
2 | 722, 398, 429, 514, 585 |
3 | 361, 199, 429, 257, 585 |
13 | 361, 199, 143, 257, 195 |
361, 199, 11, 257, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 361 x 199 x 11 x 257 x 15 = 237613958010
Therefore, the lowest common multiple of 722,398,429,514,585 is 237613958010.
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.
722 x 398 x 429 x 514 x 585 = 37067777449560
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.
722 : 1, 2, 19, 38, 361, 722
398 : 1, 2, 199, 398
429 : 1, 3, 11, 13, 33, 39, 143, 429
514 : 1, 2, 257, 514
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,398,429,514,585, is 1.
Now, the common factors can be found like this.
722:2x 19x 19
398:2x 199
429:3x 11x 13
514:2x 257
585:3x 3x 5x 13
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 3x 13 = 156
Therefore, the value for common factors is 156.
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 = 37067777449560/(1x156)
LCM = 37067777449560/156
LCM = 237613958010
Thus, we can understand that the LCM of 722,398,429,514,585 is 237613958010.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 722, 398, 429, 514, 585?
Answer: LCM of 722, 398, 429, 514, 585 is 237613958010.
2. How to calculate the LCM of 722, 398, 429, 514, 585?
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 722, 398, 429, 514, 585.
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}.