Find the LCM of 395, 814, 904, 539, 552 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 395, 814, 904, 539, 552. So, keep reading to learn more.
Given numbers are 395,814,904,539,552
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 395,814,904,539,552 is 491366004360.
Find LCM of 395,814,904,539,552 with Prime Factorization
2 | 395, 814, 904, 539, 552 |
2 | 395, 407, 452, 539, 276 |
2 | 395, 407, 226, 539, 138 |
11 | 395, 407, 113, 539, 69 |
395, 37, 113, 49, 69 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 395 x 37 x 113 x 49 x 69 = 491366004360
Therefore, the lowest common multiple of 395,814,904,539,552 is 491366004360.
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.
395 x 814 x 904 x 539 x 552 = 86480416767360
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.
395 : 1, 5, 79, 395
814 : 1, 2, 11, 22, 37, 74, 407, 814
904 : 1, 2, 4, 8, 113, 226, 452, 904
539 : 1, 7, 11, 49, 77, 539
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,814,904,539,552, is 1.
Now, the common factors can be found like this.
395:5x 79
814:2x 11x 37
904:2x 2x 2x 113
539:7x 7x 11
552:2x 2x 2x 3x 23
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 11 = 176
Therefore, the value for common factors is 176.
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 = 86480416767360/(1x176)
LCM = 86480416767360/176
LCM = 491366004360
Thus, we can understand that the LCM of 395,814,904,539,552 is 491366004360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 395, 814, 904, 539, 552?
Answer: LCM of 395, 814, 904, 539, 552 is 491366004360.
2. How to calculate the LCM of 395, 814, 904, 539, 552?
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 395, 814, 904, 539, 552.
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}.