Find the LCM of 653, 587, 324, 914, 449 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 653, 587, 324, 914, 449. So, keep reading to learn more.
Given numbers are 653,587,324,914,449
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 653,587,324,914,449 is 25483485823452.
Find LCM of 653,587,324,914,449 with Prime Factorization
2 | 653, 587, 324, 914, 449 |
653, 587, 162, 457, 449 |
Multiply the prime numbers at the bottom and the left side.
2 x 653 x 587 x 162 x 457 x 449 = 25483485823452
Therefore, the lowest common multiple of 653,587,324,914,449 is 25483485823452.
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.
653 x 587 x 324 x 914 x 449 = 50966971646904
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.
653 : 1, 653
587 : 1, 587
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
914 : 1, 2, 457, 914
449 : 1, 449
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 653,587,324,914,449, is 1.
Now, the common factors can be found like this.
653:653
587:587
324:2x 2x 3x 3x 3x 3
914:2x 457
449:449
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 50966971646904/(1x2)
LCM = 50966971646904/2
LCM = 25483485823452
Thus, we can understand that the LCM of 653,587,324,914,449 is 25483485823452.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 653, 587, 324, 914, 449?
Answer: LCM of 653, 587, 324, 914, 449 is 25483485823452.
2. How to calculate the LCM of 653, 587, 324, 914, 449?
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 653, 587, 324, 914, 449.
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}.