Find the LCM of 401, 642, 725, 595, 833 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 401, 642, 725, 595, 833. So, keep reading to learn more.
Given numbers are 401,642,725,595,833
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 401,642,725,595,833 is 155475659850.
Find LCM of 401,642,725,595,833 with Prime Factorization
5 | 401, 642, 725, 595, 833 |
7 | 401, 642, 145, 119, 833 |
17 | 401, 642, 145, 17, 119 |
401, 642, 145, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 17 x 401 x 642 x 145 x 1 x 7 = 155475659850
Therefore, the lowest common multiple of 401,642,725,595,833 is 155475659850.
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.
401 x 642 x 725 x 595 x 833 = 92508017610750
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.
401 : 1, 401
642 : 1, 2, 3, 6, 107, 214, 321, 642
725 : 1, 5, 25, 29, 145, 725
595 : 1, 5, 7, 17, 35, 85, 119, 595
833 : 1, 7, 17, 49, 119, 833
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,642,725,595,833, is 1.
Now, the common factors can be found like this.
401:401
642:2x 3x 107
725:5x 5x 29
595:5x 7x 17
833:7x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7x 17 = 595
Therefore, the value for common factors is 595.
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 = 92508017610750/(1x595)
LCM = 92508017610750/595
LCM = 155475659850
Thus, we can understand that the LCM of 401,642,725,595,833 is 155475659850.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 401, 642, 725, 595, 833?
Answer: LCM of 401, 642, 725, 595, 833 is 155475659850.
2. How to calculate the LCM of 401, 642, 725, 595, 833?
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 401, 642, 725, 595, 833.
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}.