Find the LCM of 572, 129, 419, 418, 579 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, 129, 419, 418, 579. So, keep reading to learn more.
Given numbers are 572,129,419,418,579
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,129,419,418,579 is 113373269724.
Find LCM of 572,129,419,418,579 with Prime Factorization
2 | 572, 129, 419, 418, 579 |
3 | 286, 129, 419, 209, 579 |
11 | 286, 43, 419, 209, 193 |
26, 43, 419, 19, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 26 x 43 x 419 x 19 x 193 = 113373269724
Therefore, the lowest common multiple of 572,129,419,418,579 is 113373269724.
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 129 x 419 x 418 x 579 = 7482635801784
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
129 : 1, 3, 43, 129
419 : 1, 419
418 : 1, 2, 11, 19, 22, 38, 209, 418
579 : 1, 3, 193, 579
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,129,419,418,579, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
129:3x 43
419:419
418:2x 11x 19
579:3x 193
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11 = 66
Therefore, the value for common factors is 66.
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 = 7482635801784/(1x66)
LCM = 7482635801784/66
LCM = 113373269724
Thus, we can understand that the LCM of 572,129,419,418,579 is 113373269724.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 572, 129, 419, 418, 579?
Answer: LCM of 572, 129, 419, 418, 579 is 113373269724.
2. How to calculate the LCM of 572, 129, 419, 418, 579?
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, 129, 419, 418, 579.
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}.