Find the LCM of 544, 952, 782, 483, 923 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 544, 952, 782, 483, 923. So, keep reading to learn more.
Given numbers are 544,952,782,483,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 544,952,782,483,923 is 242520096.
Find LCM of 544,952,782,483,923 with Prime Factorization
2 | 544, 952, 782, 483, 923 |
2 | 272, 476, 391, 483, 923 |
2 | 136, 238, 391, 483, 923 |
7 | 68, 119, 391, 483, 923 |
17 | 68, 17, 391, 69, 923 |
23 | 4, 1, 23, 69, 923 |
4, 1, 1, 3, 923 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 17 x 23 x 4 x 1 x 1 x 3 x 923 = 242520096
Therefore, the lowest common multiple of 544,952,782,483,923 is 242520096.
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.
544 x 952 x 782 x 483 x 923 = 180547480748544
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.
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
782 : 1, 2, 17, 23, 34, 46, 391, 782
483 : 1, 3, 7, 21, 23, 69, 161, 483
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,952,782,483,923, is 1.
Now, the common factors can be found like this.
544:2x 2x 2x 2x 2x 17
952:2x 2x 2x 7x 17
782:2x 17x 23
483:3x 7x 23
923:13x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 7x 17x 17x 23 = 744464
Therefore, the value for common factors is 744464.
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 = 180547480748544/(1x744464)
LCM = 180547480748544/744464
LCM = 242520096
Thus, we can understand that the LCM of 544,952,782,483,923 is 242520096.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 544, 952, 782, 483, 923?
Answer: LCM of 544, 952, 782, 483, 923 is 242520096.
2. How to calculate the LCM of 544, 952, 782, 483, 923?
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 544, 952, 782, 483, 923.
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}.