Find the LCM of 398, 690, 779, 855, 515 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 398, 690, 779, 855, 515. So, keep reading to learn more.
Given numbers are 398,690,779,855,515
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,690,779,855,515 is 33052027410.
Find LCM of 398,690,779,855,515 with Prime Factorization
2 | 398, 690, 779, 855, 515 |
3 | 199, 345, 779, 855, 515 |
5 | 199, 115, 779, 285, 515 |
19 | 199, 23, 779, 57, 103 |
199, 23, 41, 3, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 199 x 23 x 41 x 3 x 103 = 33052027410
Therefore, the lowest common multiple of 398,690,779,855,515 is 33052027410.
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.
398 x 690 x 779 x 855 x 515 = 94198278118500
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.
398 : 1, 2, 199, 398
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
779 : 1, 19, 41, 779
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
515 : 1, 5, 103, 515
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,690,779,855,515, is 1.
Now, the common factors can be found like this.
398:2x 199
690:2x 3x 5x 23
779:19x 41
855:3x 3x 5x 19
515:5x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5x 19 = 2850
Therefore, the value for common factors is 2850.
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 = 94198278118500/(1x2850)
LCM = 94198278118500/2850
LCM = 33052027410
Thus, we can understand that the LCM of 398,690,779,855,515 is 33052027410.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 398, 690, 779, 855, 515?
Answer: LCM of 398, 690, 779, 855, 515 is 33052027410.
2. How to calculate the LCM of 398, 690, 779, 855, 515?
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 398, 690, 779, 855, 515.
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}.