Find the LCM of 450, 648, 899, 963, 418 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 450, 648, 899, 963, 418. So, keep reading to learn more.
Given numbers are 450,648,899,963,418
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 450,648,899,963,418 is 325690259400.
Find LCM of 450,648,899,963,418 with Prime Factorization
2 | 450, 648, 899, 963, 418 |
3 | 225, 324, 899, 963, 209 |
3 | 75, 108, 899, 321, 209 |
25, 36, 899, 107, 209 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 25 x 36 x 899 x 107 x 209 = 325690259400
Therefore, the lowest common multiple of 450,648,899,963,418 is 325690259400.
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.
450 x 648 x 899 x 963 x 418 = 105523644045600
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.
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
899 : 1, 29, 31, 899
963 : 1, 3, 9, 107, 321, 963
418 : 1, 2, 11, 19, 22, 38, 209, 418
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 450,648,899,963,418, is 1.
Now, the common factors can be found like this.
450:2x 3x 3x 5x 5
648:2x 2x 2x 3x 3x 3x 3
899:29x 31
963:3x 3x 107
418:2x 11x 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 3x 3x 3x 3 = 324
Therefore, the value for common factors is 324.
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 = 105523644045600/(1x324)
LCM = 105523644045600/324
LCM = 325690259400
Thus, we can understand that the LCM of 450,648,899,963,418 is 325690259400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 450, 648, 899, 963, 418?
Answer: LCM of 450, 648, 899, 963, 418 is 325690259400.
2. How to calculate the LCM of 450, 648, 899, 963, 418?
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 450, 648, 899, 963, 418.
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}.