Find the LCM of 390, 692, 659, 307, 518 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 390, 692, 659, 307, 518. So, keep reading to learn more.
Given numbers are 390,692,659,307,518
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 390,692,659,307,518 is 7070730100980.
Find LCM of 390,692,659,307,518 with Prime Factorization
2 | 390, 692, 659, 307, 518 |
195, 346, 659, 307, 259 |
Multiply the prime numbers at the bottom and the left side.
2 x 195 x 346 x 659 x 307 x 259 = 7070730100980
Therefore, the lowest common multiple of 390,692,659,307,518 is 7070730100980.
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.
390 x 692 x 659 x 307 x 518 = 28282920403920
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.
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
692 : 1, 2, 4, 173, 346, 692
659 : 1, 659
307 : 1, 307
518 : 1, 2, 7, 14, 37, 74, 259, 518
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,692,659,307,518, is 1.
Now, the common factors can be found like this.
390:2x 3x 5x 13
692:2x 2x 173
659:659
307:307
518:2x 7x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 28282920403920/(1x4)
LCM = 28282920403920/4
LCM = 7070730100980
Thus, we can understand that the LCM of 390,692,659,307,518 is 7070730100980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 390, 692, 659, 307, 518?
Answer: LCM of 390, 692, 659, 307, 518 is 7070730100980.
2. How to calculate the LCM of 390, 692, 659, 307, 518?
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 390, 692, 659, 307, 518.
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}.