LCM of 503, 150, 403, 589, 325
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 503, 150, 403, 589, 325 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 503, 150, 403, 589, 325. So, keep reading to learn more.
Given numbers are 503,150,403,589,325
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 503,150,403,589,325 is 577720650.
Find LCM of 503,150,403,589,325 with Prime Factorization
| 5 | 503, 150, 403, 589, 325 |
| 5 | 503, 30, 403, 589, 65 |
| 13 | 503, 6, 403, 589, 13 |
| 31 | 503, 6, 31, 589, 1 |
| 503, 6, 1, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
5 x 5 x 13 x 31 x 503 x 6 x 1 x 19 x 1 = 577720650
Therefore, the lowest common multiple of 503,150,403,589,325 is 577720650.
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.
503 x 150 x 403 x 589 x 325 = 5820535548750
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.
503 : 1, 503
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
403 : 1, 13, 31, 403
589 : 1, 19, 31, 589
325 : 1, 5, 13, 25, 65, 325
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 503,150,403,589,325, is 1.
Now, the common factors can be found like this.
503:503
150:2x 3x 5x 5
403:13x 31
589:19x 31
325:5x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 13x 31 = 10075
Therefore, the value for common factors is 10075.
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 = 5820535548750/(1x10075)
LCM = 5820535548750/10075
LCM = 577720650
Thus, we can understand that the LCM of 503,150,403,589,325 is 577720650.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 503, 150, 403, 589, 325
1. What is the LCM of 503, 150, 403, 589, 325?
Answer: LCM of 503, 150, 403, 589, 325 is 577720650.
2. How to calculate the LCM of 503, 150, 403, 589, 325?
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 503, 150, 403, 589, 325.
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}.