Find the LCM of 572, 286, 523, 264, 923 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 572, 286, 523, 264, 923. So, keep reading to learn more.
Given numbers are 572,286,523,264,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,286,523,264,923 is 127440456.
Find LCM of 572,286,523,264,923 with Prime Factorization
2 | 572, 286, 523, 264, 923 |
2 | 286, 143, 523, 132, 923 |
11 | 143, 143, 523, 66, 923 |
13 | 13, 13, 523, 6, 923 |
1, 1, 523, 6, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 13 x 1 x 1 x 523 x 6 x 71 = 127440456
Therefore, the lowest common multiple of 572,286,523,264,923 is 127440456.
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.
572 x 286 x 523 x 264 x 923 = 20848239077952
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.
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
286 : 1, 2, 11, 13, 22, 26, 143, 286
523 : 1, 523
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,286,523,264,923, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
286:2x 11x 13
523:523
264:2x 2x 2x 3x 11
923:13x 71
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 11x 11x 13x 13 = 163592
Therefore, the value for common factors is 163592.
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 = 20848239077952/(1x163592)
LCM = 20848239077952/163592
LCM = 127440456
Thus, we can understand that the LCM of 572,286,523,264,923 is 127440456.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 572, 286, 523, 264, 923?
Answer: LCM of 572, 286, 523, 264, 923 is 127440456.
2. How to calculate the LCM of 572, 286, 523, 264, 923?
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 572, 286, 523, 264, 923.
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}.