Find the LCM of 843, 447, 744, 906, 311 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 843, 447, 744, 906, 311. So, keep reading to learn more.
Given numbers are 843,447,744,906,311
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 843,447,744,906,311 is 1462860321096.
Find LCM of 843,447,744,906,311 with Prime Factorization
2 | 843, 447, 744, 906, 311 |
3 | 843, 447, 372, 453, 311 |
281, 149, 124, 151, 311 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 281 x 149 x 124 x 151 x 311 = 1462860321096
Therefore, the lowest common multiple of 843,447,744,906,311 is 1462860321096.
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.
843 x 447 x 744 x 906 x 311 = 78994457339184
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.
843 : 1, 3, 281, 843
447 : 1, 3, 149, 447
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
906 : 1, 2, 3, 6, 151, 302, 453, 906
311 : 1, 311
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,447,744,906,311, is 1.
Now, the common factors can be found like this.
843:3x 281
447:3x 149
744:2x 2x 2x 3x 31
906:2x 3x 151
311:311
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3 = 54
Therefore, the value for common factors is 54.
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 = 78994457339184/(1x54)
LCM = 78994457339184/54
LCM = 1462860321096
Thus, we can understand that the LCM of 843,447,744,906,311 is 1462860321096.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 843, 447, 744, 906, 311?
Answer: LCM of 843, 447, 744, 906, 311 is 1462860321096.
2. How to calculate the LCM of 843, 447, 744, 906, 311?
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 843, 447, 744, 906, 311.
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}.