Find the LCM of 578, 828, 447, 926, 848 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 578, 828, 447, 926, 848. So, keep reading to learn more.
Given numbers are 578,828,447,926,848
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,828,447,926,848 is 3499703887248.
Find LCM of 578,828,447,926,848 with Prime Factorization
2 | 578, 828, 447, 926, 848 |
2 | 289, 414, 447, 463, 424 |
3 | 289, 207, 447, 463, 212 |
289, 69, 149, 463, 212 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 289 x 69 x 149 x 463 x 212 = 3499703887248
Therefore, the lowest common multiple of 578,828,447,926,848 is 3499703887248.
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.
578 x 828 x 447 x 926 x 848 = 167985786587904
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.
578 : 1, 2, 17, 34, 289, 578
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
447 : 1, 3, 149, 447
926 : 1, 2, 463, 926
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,828,447,926,848, is 1.
Now, the common factors can be found like this.
578:2x 17x 17
828:2x 2x 3x 3x 23
447:3x 149
926:2x 463
848:2x 2x 2x 2x 53
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 3 = 48
Therefore, the value for common factors is 48.
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 = 167985786587904/(1x48)
LCM = 167985786587904/48
LCM = 3499703887248
Thus, we can understand that the LCM of 578,828,447,926,848 is 3499703887248.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 578, 828, 447, 926, 848?
Answer: LCM of 578, 828, 447, 926, 848 is 3499703887248.
2. How to calculate the LCM of 578, 828, 447, 926, 848?
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 578, 828, 447, 926, 848.
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}.