LCM of 507, 584, 949, 908
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 507, 584, 949, 908 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 507, 584, 949, 908. So, keep reading to learn more.
Given numbers are 507,584,949,908
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 507,584,949,908 is 67211976.
Find LCM of 507,584,949,908 with Prime Factorization
| 2 | 507, 584, 949, 908 |
| 2 | 507, 292, 949, 454 |
| 13 | 507, 146, 949, 227 |
| 73 | 39, 146, 73, 227 |
| 39, 2, 1, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 73 x 39 x 2 x 1 x 227 = 67211976
Therefore, the lowest common multiple of 507,584,949,908 is 67211976.
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.
507 x 584 x 949 x 908 = 255136660896
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.
507 : 1, 3, 13, 39, 169, 507
584 : 1, 2, 4, 8, 73, 146, 292, 584
949 : 1, 13, 73, 949
908 : 1, 2, 4, 227, 454, 908
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,584,949,908, is 1.
Now, the common factors can be found like this.
507:3x 13x 13
584:2x 2x 2x 73
949:13x 73
908:2x 2x 227
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 13x 73 = 3796
Therefore, the value for common factors is 3796.
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 = 255136660896/(1x3796)
LCM = 255136660896/3796
LCM = 67211976
Thus, we can understand that the LCM of 507,584,949,908 is 67211976.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 507, 584, 949, 908
1. What is the LCM of 507, 584, 949, 908?
Answer: LCM of 507, 584, 949, 908 is 67211976.
2. How to calculate the LCM of 507, 584, 949, 908?
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 507, 584, 949, 908.
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}.