Find the LCM of 395, 605, 312, 529 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 395, 605, 312, 529. So, keep reading to learn more.
Given numbers are 395,605,312,529
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 395,605,312,529 is 7888469160.
Find LCM of 395,605,312,529 with Prime Factorization
5 | 395, 605, 312, 529 |
79, 121, 312, 529 |
Multiply the prime numbers at the bottom and the left side.
5 x 79 x 121 x 312 x 529 = 7888469160
Therefore, the lowest common multiple of 395,605,312,529 is 7888469160.
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.
395 x 605 x 312 x 529 = 39442345800
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.
395 : 1, 5, 79, 395
605 : 1, 5, 11, 55, 121, 605
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
529 : 1, 23, 529
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,605,312,529, is 1.
Now, the common factors can be found like this.
395:5x 79
605:5x 11x 11
312:2x 2x 2x 3x 13
529:23x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5 = 5
Therefore, the value for common factors is 5.
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 = 39442345800/(1x5)
LCM = 39442345800/5
LCM = 7888469160
Thus, we can understand that the LCM of 395,605,312,529 is 7888469160.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 395, 605, 312, 529?
Answer: LCM of 395, 605, 312, 529 is 7888469160.
2. How to calculate the LCM of 395, 605, 312, 529?
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 395, 605, 312, 529.
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}.