Find the LCM of 448, 432, 273, 471, 344 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 448, 432, 273, 471, 344. So, keep reading to learn more.
Given numbers are 448,432,273,471,344
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 448,432,273,471,344 is 1061581248.
Find LCM of 448,432,273,471,344 with Prime Factorization
2 | 448, 432, 273, 471, 344 |
2 | 224, 216, 273, 471, 172 |
2 | 112, 108, 273, 471, 86 |
2 | 56, 54, 273, 471, 43 |
3 | 28, 27, 273, 471, 43 |
7 | 28, 9, 91, 157, 43 |
4, 9, 13, 157, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 4 x 9 x 13 x 157 x 43 = 1061581248
Therefore, the lowest common multiple of 448,432,273,471,344 is 1061581248.
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.
448 x 432 x 273 x 471 x 344 = 8560591183872
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.
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
273 : 1, 3, 7, 13, 21, 39, 91, 273
471 : 1, 3, 157, 471
344 : 1, 2, 4, 8, 43, 86, 172, 344
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,432,273,471,344, is 1.
Now, the common factors can be found like this.
448:2x 2x 2x 2x 2x 2x 7
432:2x 2x 2x 2x 3x 3x 3
273:3x 7x 13
471:3x 157
344:2x 2x 2x 43
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 2x 2x 2x 2x 3x 3x 7 = 8064
Therefore, the value for common factors is 8064.
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 = 8560591183872/(1x8064)
LCM = 8560591183872/8064
LCM = 1061581248
Thus, we can understand that the LCM of 448,432,273,471,344 is 1061581248.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 448, 432, 273, 471, 344?
Answer: LCM of 448, 432, 273, 471, 344 is 1061581248.
2. How to calculate the LCM of 448, 432, 273, 471, 344?
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 448, 432, 273, 471, 344.
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}.