Find the LCM of 873, 744, 912, 103, 447 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 873, 744, 912, 103, 447. So, keep reading to learn more.
Given numbers are 873,744,912,103,447
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 873,744,912,103,447 is 126262101744.
Find LCM of 873,744,912,103,447 with Prime Factorization
2 | 873, 744, 912, 103, 447 |
2 | 873, 372, 456, 103, 447 |
2 | 873, 186, 228, 103, 447 |
3 | 873, 93, 114, 103, 447 |
291, 31, 38, 103, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 291 x 31 x 38 x 103 x 149 = 126262101744
Therefore, the lowest common multiple of 873,744,912,103,447 is 126262101744.
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.
873 x 744 x 912 x 103 x 447 = 27272613976704
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.
873 : 1, 3, 9, 97, 291, 873
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
103 : 1, 103
447 : 1, 3, 149, 447
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 873,744,912,103,447, is 1.
Now, the common factors can be found like this.
873:3x 3x 97
744:2x 2x 2x 3x 31
912:2x 2x 2x 2x 3x 19
103:103
447:3x 149
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 27272613976704/(1x216)
LCM = 27272613976704/216
LCM = 126262101744
Thus, we can understand that the LCM of 873,744,912,103,447 is 126262101744.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 873, 744, 912, 103, 447?
Answer: LCM of 873, 744, 912, 103, 447 is 126262101744.
2. How to calculate the LCM of 873, 744, 912, 103, 447?
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 873, 744, 912, 103, 447.
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}.