Find the LCM of 486, 459, 539, 241, 668 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 486, 459, 539, 241, 668. So, keep reading to learn more.
Given numbers are 486,459,539,241,668
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 486,459,539,241,668 is 358457329692.
Find LCM of 486,459,539,241,668 with Prime Factorization
2 | 486, 459, 539, 241, 668 |
3 | 243, 459, 539, 241, 334 |
3 | 81, 153, 539, 241, 334 |
3 | 27, 51, 539, 241, 334 |
9, 17, 539, 241, 334 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 9 x 17 x 539 x 241 x 334 = 358457329692
Therefore, the lowest common multiple of 486,459,539,241,668 is 358457329692.
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.
486 x 459 x 539 x 241 x 668 = 19356695803368
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.
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
459 : 1, 3, 9, 17, 27, 51, 153, 459
539 : 1, 7, 11, 49, 77, 539
241 : 1, 241
668 : 1, 2, 4, 167, 334, 668
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,459,539,241,668, is 1.
Now, the common factors can be found like this.
486:2x 3x 3x 3x 3x 3
459:3x 3x 3x 17
539:7x 7x 11
241:241
668:2x 2x 167
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 3x 3 = 54
Therefore, the value for common factors is 54.
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 = 19356695803368/(1x54)
LCM = 19356695803368/54
LCM = 358457329692
Thus, we can understand that the LCM of 486,459,539,241,668 is 358457329692.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 486, 459, 539, 241, 668?
Answer: LCM of 486, 459, 539, 241, 668 is 358457329692.
2. How to calculate the LCM of 486, 459, 539, 241, 668?
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 486, 459, 539, 241, 668.
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}.