Find the LCM of 205, 117, 144, 653, 455 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 205, 117, 144, 653, 455. So, keep reading to learn more.
Given numbers are 205,117,144,653,455
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 205,117,144,653,455 is 1754166960.
Find LCM of 205,117,144,653,455 with Prime Factorization
3 | 205, 117, 144, 653, 455 |
3 | 205, 39, 48, 653, 455 |
5 | 205, 13, 16, 653, 455 |
13 | 41, 13, 16, 653, 91 |
41, 1, 16, 653, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 13 x 41 x 1 x 16 x 653 x 7 = 1754166960
Therefore, the lowest common multiple of 205,117,144,653,455 is 1754166960.
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.
205 x 117 x 144 x 653 x 455 = 1026187671600
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.
205 : 1, 5, 41, 205
117 : 1, 3, 9, 13, 39, 117
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
653 : 1, 653
455 : 1, 5, 7, 13, 35, 65, 91, 455
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,117,144,653,455, is 1.
Now, the common factors can be found like this.
205:5x 41
117:3x 3x 13
144:2x 2x 2x 2x 3x 3
653:653
455:5x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 13 = 585
Therefore, the value for common factors is 585.
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 = 1026187671600/(1x585)
LCM = 1026187671600/585
LCM = 1754166960
Thus, we can understand that the LCM of 205,117,144,653,455 is 1754166960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 205, 117, 144, 653, 455?
Answer: LCM of 205, 117, 144, 653, 455 is 1754166960.
2. How to calculate the LCM of 205, 117, 144, 653, 455?
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 205, 117, 144, 653, 455.
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}.