Find the LCM of 552, 589, 403, 580 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 552, 589, 403, 580. So, keep reading to learn more.
Given numbers are 552,589,403,580
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 552,589,403,580 is 612866280.
Find LCM of 552,589,403,580 with Prime Factorization
2 | 552, 589, 403, 580 |
2 | 276, 589, 403, 290 |
31 | 138, 589, 403, 145 |
138, 19, 13, 145 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 31 x 138 x 19 x 13 x 145 = 612866280
Therefore, the lowest common multiple of 552,589,403,580 is 612866280.
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.
552 x 589 x 403 x 580 = 75995418720
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.
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
589 : 1, 19, 31, 589
403 : 1, 13, 31, 403
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,589,403,580, is 1.
Now, the common factors can be found like this.
552:2x 2x 2x 3x 23
589:19x 31
403:13x 31
580:2x 2x 5x 29
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 31 = 124
Therefore, the value for common factors is 124.
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 = 75995418720/(1x124)
LCM = 75995418720/124
LCM = 612866280
Thus, we can understand that the LCM of 552,589,403,580 is 612866280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 552, 589, 403, 580?
Answer: LCM of 552, 589, 403, 580 is 612866280.
2. How to calculate the LCM of 552, 589, 403, 580?
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 552, 589, 403, 580.
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}.