Find the LCM of 319, 494, 403, 448, 124 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 319, 494, 403, 448, 124. So, keep reading to learn more.
Given numbers are 319,494,403,448,124
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,494,403,448,124 is 1094277184.
Find LCM of 319,494,403,448,124 with Prime Factorization
2 | 319, 494, 403, 448, 124 |
2 | 319, 247, 403, 224, 62 |
13 | 319, 247, 403, 112, 31 |
31 | 319, 19, 31, 112, 31 |
319, 19, 1, 112, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 31 x 319 x 19 x 1 x 112 x 1 = 1094277184
Therefore, the lowest common multiple of 319,494,403,448,124 is 1094277184.
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.
319 x 494 x 403 x 448 x 124 = 3527949641216
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.
319 : 1, 11, 29, 319
494 : 1, 2, 13, 19, 26, 38, 247, 494
403 : 1, 13, 31, 403
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
124 : 1, 2, 4, 31, 62, 124
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,494,403,448,124, is 1.
Now, the common factors can be found like this.
319:11x 29
494:2x 13x 19
403:13x 31
448:2x 2x 2x 2x 2x 2x 7
124:2x 2x 31
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 13x 31 = 3224
Therefore, the value for common factors is 3224.
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 = 3527949641216/(1x3224)
LCM = 3527949641216/3224
LCM = 1094277184
Thus, we can understand that the LCM of 319,494,403,448,124 is 1094277184.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 319, 494, 403, 448, 124?
Answer: LCM of 319, 494, 403, 448, 124 is 1094277184.
2. How to calculate the LCM of 319, 494, 403, 448, 124?
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 319, 494, 403, 448, 124.
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}.