Find the LCM of 503, 456, 536, 520, 201 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, 456, 536, 520, 201. So, keep reading to learn more.
Given numbers are 503,456,536,520,201
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 503,456,536,520,201 is 998897640.
Find LCM of 503,456,536,520,201 with Prime Factorization
2 | 503, 456, 536, 520, 201 |
2 | 503, 228, 268, 260, 201 |
2 | 503, 114, 134, 130, 201 |
3 | 503, 57, 67, 65, 201 |
67 | 503, 19, 67, 65, 67 |
503, 19, 1, 65, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 67 x 503 x 19 x 1 x 65 x 1 = 998897640
Therefore, the lowest common multiple of 503,456,536,520,201 is 998897640.
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 456 x 536 x 520 x 201 = 12849819240960
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
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
536 : 1, 2, 4, 8, 67, 134, 268, 536
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
201 : 1, 3, 67, 201
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 503,456,536,520,201, is 1.
Now, the common factors can be found like this.
503:503
456:2x 2x 2x 3x 19
536:2x 2x 2x 67
520:2x 2x 2x 5x 13
201:3x 67
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 2x 2x 2x 2x 3x 67 = 12864
Therefore, the value for common factors is 12864.
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 = 12849819240960/(1x12864)
LCM = 12849819240960/12864
LCM = 998897640
Thus, we can understand that the LCM of 503,456,536,520,201 is 998897640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 503, 456, 536, 520, 201?
Answer: LCM of 503, 456, 536, 520, 201 is 998897640.
2. How to calculate the LCM of 503, 456, 536, 520, 201?
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, 456, 536, 520, 201.
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}.