Find the LCM of 449, 532, 809, 772, 722 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 449, 532, 809, 772, 722. So, keep reading to learn more.
Given numbers are 449,532,809,772,722
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 449,532,809,772,722 is 708626525404.
Find LCM of 449,532,809,772,722 with Prime Factorization
2 | 449, 532, 809, 772, 722 |
2 | 449, 266, 809, 386, 361 |
19 | 449, 133, 809, 193, 361 |
449, 7, 809, 193, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 449 x 7 x 809 x 193 x 19 = 708626525404
Therefore, the lowest common multiple of 449,532,809,772,722 is 708626525404.
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.
449 x 532 x 809 x 772 x 722 = 107711231861408
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.
449 : 1, 449
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
809 : 1, 809
772 : 1, 2, 4, 193, 386, 772
722 : 1, 2, 19, 38, 361, 722
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 449,532,809,772,722, is 1.
Now, the common factors can be found like this.
449:449
532:2x 2x 7x 19
809:809
772:2x 2x 193
722:2x 19x 19
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 19 = 152
Therefore, the value for common factors is 152.
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 = 107711231861408/(1x152)
LCM = 107711231861408/152
LCM = 708626525404
Thus, we can understand that the LCM of 449,532,809,772,722 is 708626525404.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 449, 532, 809, 772, 722?
Answer: LCM of 449, 532, 809, 772, 722 is 708626525404.
2. How to calculate the LCM of 449, 532, 809, 772, 722?
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 449, 532, 809, 772, 722.
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}.