Find the LCM of 590, 649, 674, 722, 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 590, 649, 674, 722, 447. So, keep reading to learn more.
Given numbers are 590,649,674,722,447
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 590,649,674,722,447 is 352930606710.
Find LCM of 590,649,674,722,447 with Prime Factorization
2 | 590, 649, 674, 722, 447 |
59 | 295, 649, 337, 361, 447 |
5, 11, 337, 361, 447 |
Multiply the prime numbers at the bottom and the left side.
2 x 59 x 5 x 11 x 337 x 361 x 447 = 352930606710
Therefore, the lowest common multiple of 590,649,674,722,447 is 352930606710.
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.
590 x 649 x 674 x 722 x 447 = 83291623183560
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.
590 : 1, 2, 5, 10, 59, 118, 295, 590
649 : 1, 11, 59, 649
674 : 1, 2, 337, 674
722 : 1, 2, 19, 38, 361, 722
447 : 1, 3, 149, 447
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,649,674,722,447, is 1.
Now, the common factors can be found like this.
590:2x 5x 59
649:11x 59
674:2x 337
722:2x 19x 19
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 59 = 236
Therefore, the value for common factors is 236.
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 = 83291623183560/(1x236)
LCM = 83291623183560/236
LCM = 352930606710
Thus, we can understand that the LCM of 590,649,674,722,447 is 352930606710.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 590, 649, 674, 722, 447?
Answer: LCM of 590, 649, 674, 722, 447 is 352930606710.
2. How to calculate the LCM of 590, 649, 674, 722, 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 590, 649, 674, 722, 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}.