Find the LCM of 299, 724, 195, 791, 483 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 299, 724, 195, 791, 483. So, keep reading to learn more.
Given numbers are 299,724,195,791,483
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 299,724,195,791,483 is 2568487740.
Find LCM of 299,724,195,791,483 with Prime Factorization
3 | 299, 724, 195, 791, 483 |
7 | 299, 724, 65, 791, 161 |
13 | 299, 724, 65, 113, 23 |
23 | 23, 724, 5, 113, 23 |
1, 724, 5, 113, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 13 x 23 x 1 x 724 x 5 x 113 x 1 = 2568487740
Therefore, the lowest common multiple of 299,724,195,791,483 is 2568487740.
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.
299 x 724 x 195 x 791 x 483 = 16127534519460
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.
299 : 1, 13, 23, 299
724 : 1, 2, 4, 181, 362, 724
195 : 1, 3, 5, 13, 15, 39, 65, 195
791 : 1, 7, 113, 791
483 : 1, 3, 7, 21, 23, 69, 161, 483
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,724,195,791,483, is 1.
Now, the common factors can be found like this.
299:13x 23
724:2x 2x 181
195:3x 5x 13
791:7x 113
483:3x 7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 13x 23 = 6279
Therefore, the value for common factors is 6279.
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 = 16127534519460/(1x6279)
LCM = 16127534519460/6279
LCM = 2568487740
Thus, we can understand that the LCM of 299,724,195,791,483 is 2568487740.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 299, 724, 195, 791, 483?
Answer: LCM of 299, 724, 195, 791, 483 is 2568487740.
2. How to calculate the LCM of 299, 724, 195, 791, 483?
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 299, 724, 195, 791, 483.
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}.