Find the LCM of 584, 945, 504, 507 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 584, 945, 504, 507. So, keep reading to learn more.
Given numbers are 584,945,504,507
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 584,945,504,507 is 93267720.
Find LCM of 584,945,504,507 with Prime Factorization
2 | 584, 945, 504, 507 |
2 | 292, 945, 252, 507 |
2 | 146, 945, 126, 507 |
3 | 73, 945, 63, 507 |
3 | 73, 315, 21, 169 |
7 | 73, 105, 7, 169 |
73, 15, 1, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 7 x 73 x 15 x 1 x 169 = 93267720
Therefore, the lowest common multiple of 584,945,504,507 is 93267720.
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.
584 x 945 x 504 x 507 = 141020792640
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.
584 : 1, 2, 4, 8, 73, 146, 292, 584
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
507 : 1, 3, 13, 39, 169, 507
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,945,504,507, is 1.
Now, the common factors can be found like this.
584:2x 2x 2x 73
945:3x 3x 3x 5x 7
504:2x 2x 2x 3x 3x 7
507:3x 13x 13
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 3x 3x 3x 7 = 1512
Therefore, the value for common factors is 1512.
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 = 141020792640/(1x1512)
LCM = 141020792640/1512
LCM = 93267720
Thus, we can understand that the LCM of 584,945,504,507 is 93267720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 584, 945, 504, 507?
Answer: LCM of 584, 945, 504, 507 is 93267720.
2. How to calculate the LCM of 584, 945, 504, 507?
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 584, 945, 504, 507.
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}.