Find the LCM of 605, 813, 539, 540 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 605, 813, 539, 540. So, keep reading to learn more.
Given numbers are 605,813,539,540
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,813,539,540 is 867649860.
Find LCM of 605,813,539,540 with Prime Factorization
3 | 605, 813, 539, 540 |
5 | 605, 271, 539, 180 |
11 | 121, 271, 539, 36 |
11, 271, 49, 36 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 11 x 271 x 49 x 36 = 867649860
Therefore, the lowest common multiple of 605,813,539,540 is 867649860.
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.
605 x 813 x 539 x 540 = 143162226900
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.
605 : 1, 5, 11, 55, 121, 605
813 : 1, 3, 271, 813
539 : 1, 7, 11, 49, 77, 539
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,813,539,540, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
813:3x 271
539:7x 7x 11
540:2x 2x 3x 3x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 11 = 165
Therefore, the value for common factors is 165.
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 = 143162226900/(1x165)
LCM = 143162226900/165
LCM = 867649860
Thus, we can understand that the LCM of 605,813,539,540 is 867649860.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 605, 813, 539, 540?
Answer: LCM of 605, 813, 539, 540 is 867649860.
2. How to calculate the LCM of 605, 813, 539, 540?
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 605, 813, 539, 540.
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}.