Find the LCM of 590, 533, 555, 539, 898 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 590, 533, 555, 539, 898. So, keep reading to learn more.
Given numbers are 590,533,555,539,898
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 590,533,555,539,898 is 8447677107870.
Find LCM of 590,533,555,539,898 with Prime Factorization
2 | 590, 533, 555, 539, 898 |
5 | 295, 533, 555, 539, 449 |
59, 533, 111, 539, 449 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 59 x 533 x 111 x 539 x 449 = 8447677107870
Therefore, the lowest common multiple of 590,533,555,539,898 is 8447677107870.
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.
590 x 533 x 555 x 539 x 898 = 84476771078700
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.
590 : 1, 2, 5, 10, 59, 118, 295, 590
533 : 1, 13, 41, 533
555 : 1, 3, 5, 15, 37, 111, 185, 555
539 : 1, 7, 11, 49, 77, 539
898 : 1, 2, 449, 898
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,533,555,539,898, is 1.
Now, the common factors can be found like this.
590:2x 5x 59
533:13x 41
555:3x 5x 37
539:7x 7x 11
898:2x 449
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 84476771078700/(1x10)
LCM = 84476771078700/10
LCM = 8447677107870
Thus, we can understand that the LCM of 590,533,555,539,898 is 8447677107870.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 590, 533, 555, 539, 898?
Answer: LCM of 590, 533, 555, 539, 898 is 8447677107870.
2. How to calculate the LCM of 590, 533, 555, 539, 898?
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 590, 533, 555, 539, 898.
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}.