Find the LCM of 455, 505, 572, 442, 368 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 455, 505, 572, 442, 368. So, keep reading to learn more.
Given numbers are 455,505,572,442,368
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 455,505,572,442,368 is 3162439280.
Find LCM of 455,505,572,442,368 with Prime Factorization
2 | 455, 505, 572, 442, 368 |
2 | 455, 505, 286, 221, 184 |
5 | 455, 505, 143, 221, 92 |
13 | 91, 101, 143, 221, 92 |
7, 101, 11, 17, 92 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 7 x 101 x 11 x 17 x 92 = 3162439280
Therefore, the lowest common multiple of 455,505,572,442,368 is 3162439280.
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.
455 x 505 x 572 x 442 x 368 = 21378089532800
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.
455 : 1, 5, 7, 13, 35, 65, 91, 455
505 : 1, 5, 101, 505
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
442 : 1, 2, 13, 17, 26, 34, 221, 442
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 455,505,572,442,368, is 1.
Now, the common factors can be found like this.
455:5x 7x 13
505:5x 101
572:2x 2x 11x 13
442:2x 13x 17
368:2x 2x 2x 2x 23
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 5x 13x 13 = 6760
Therefore, the value for common factors is 6760.
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 = 21378089532800/(1x6760)
LCM = 21378089532800/6760
LCM = 3162439280
Thus, we can understand that the LCM of 455,505,572,442,368 is 3162439280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 455, 505, 572, 442, 368?
Answer: LCM of 455, 505, 572, 442, 368 is 3162439280.
2. How to calculate the LCM of 455, 505, 572, 442, 368?
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 455, 505, 572, 442, 368.
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}.