Find the LCM of 471, 612, 668, 728, 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 471, 612, 668, 728, 447. So, keep reading to learn more.
Given numbers are 471,612,668,728,447
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,612,668,728,447 is 435136187304.
Find LCM of 471,612,668,728,447 with Prime Factorization
2 | 471, 612, 668, 728, 447 |
2 | 471, 306, 334, 364, 447 |
3 | 471, 153, 167, 182, 447 |
157, 51, 167, 182, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 157 x 51 x 167 x 182 x 149 = 435136187304
Therefore, the lowest common multiple of 471,612,668,728,447 is 435136187304.
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.
471 x 612 x 668 x 728 x 447 = 62659610971776
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.
471 : 1, 3, 157, 471
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
668 : 1, 2, 4, 167, 334, 668
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
447 : 1, 3, 149, 447
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,612,668,728,447, is 1.
Now, the common factors can be found like this.
471:3x 157
612:2x 2x 3x 3x 17
668:2x 2x 167
728:2x 2x 2x 7x 13
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 2x 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 62659610971776/(1x144)
LCM = 62659610971776/144
LCM = 435136187304
Thus, we can understand that the LCM of 471,612,668,728,447 is 435136187304.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 471, 612, 668, 728, 447?
Answer: LCM of 471, 612, 668, 728, 447 is 435136187304.
2. How to calculate the LCM of 471, 612, 668, 728, 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 471, 612, 668, 728, 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}.