Find the LCM of 599, 475, 695, 435, 380 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 599, 475, 695, 435, 380. So, keep reading to learn more.
Given numbers are 599,475,695,435,380
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 599,475,695,435,380 is 13763043300.
Find LCM of 599,475,695,435,380 with Prime Factorization
5 | 599, 475, 695, 435, 380 |
19 | 599, 95, 139, 87, 76 |
599, 5, 139, 87, 4 |
Multiply the prime numbers at the bottom and the left side.
5 x 19 x 599 x 5 x 139 x 87 x 4 = 13763043300
Therefore, the lowest common multiple of 599,475,695,435,380 is 13763043300.
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.
599 x 475 x 695 x 435 x 380 = 32687227837500
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.
599 : 1, 599
475 : 1, 5, 19, 25, 95, 475
695 : 1, 5, 139, 695
435 : 1, 3, 5, 15, 29, 87, 145, 435
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 599,475,695,435,380, is 1.
Now, the common factors can be found like this.
599:599
475:5x 5x 19
695:5x 139
435:3x 5x 29
380:2x 2x 5x 19
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 5x 19 = 2375
Therefore, the value for common factors is 2375.
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 = 32687227837500/(1x2375)
LCM = 32687227837500/2375
LCM = 13763043300
Thus, we can understand that the LCM of 599,475,695,435,380 is 13763043300.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 599, 475, 695, 435, 380?
Answer: LCM of 599, 475, 695, 435, 380 is 13763043300.
2. How to calculate the LCM of 599, 475, 695, 435, 380?
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 599, 475, 695, 435, 380.
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}.