Find the LCM of 106, 355, 583, 573, 241 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 106, 355, 583, 573, 241. So, keep reading to learn more.
Given numbers are 106,355,583,573,241
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 106,355,583,573,241 is 57160835490.
Find LCM of 106,355,583,573,241 with Prime Factorization
53 | 106, 355, 583, 573, 241 |
2, 355, 11, 573, 241 |
Multiply the prime numbers at the bottom and the left side.
53 x 2 x 355 x 11 x 573 x 241 = 57160835490
Therefore, the lowest common multiple of 106,355,583,573,241 is 57160835490.
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.
106 x 355 x 583 x 573 x 241 = 3029524280970
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.
106 : 1, 2, 53, 106
355 : 1, 5, 71, 355
583 : 1, 11, 53, 583
573 : 1, 3, 191, 573
241 : 1, 241
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,355,583,573,241, is 1.
Now, the common factors can be found like this.
106:2x 53
355:5x 71
583:11x 53
573:3x 191
241:241
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
53 = 53
Therefore, the value for common factors is 53.
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 = 3029524280970/(1x53)
LCM = 3029524280970/53
LCM = 57160835490
Thus, we can understand that the LCM of 106,355,583,573,241 is 57160835490.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 106, 355, 583, 573, 241?
Answer: LCM of 106, 355, 583, 573, 241 is 57160835490.
2. How to calculate the LCM of 106, 355, 583, 573, 241?
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 106, 355, 583, 573, 241.
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}.