LCM of 582, 924, 240, 510
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 582, 924, 240, 510 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 582, 924, 240, 510. So, keep reading to learn more.
Given numbers are 582,924,240,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 582,924,240,510 is 30473520.
Find LCM of 582,924,240,510 with Prime Factorization
| 2 | 582, 924, 240, 510 |
| 2 | 291, 462, 120, 255 |
| 3 | 291, 231, 60, 255 |
| 5 | 97, 77, 20, 85 |
| 97, 77, 4, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 97 x 77 x 4 x 17 = 30473520
Therefore, the lowest common multiple of 582,924,240,510 is 30473520.
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.
582 x 924 x 240 x 510 = 65822803200
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.
582 : 1, 2, 3, 6, 97, 194, 291, 582
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,924,240,510, is 6.
Now, the common factors can be found like this.
582:2x 3x 97
924:2x 2x 3x 7x 11
240:2x 2x 2x 2x 3x 5
510:2x 3x 5x 17
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 5 = 360
Therefore, the value for common factors is 360.
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 = 65822803200/(6x360)
LCM = 65822803200/2160
LCM = 30473520
Thus, we can understand that the LCM of 582,924,240,510 is 30473520.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 582, 924, 240, 510
1. What is the LCM of 582, 924, 240, 510?
Answer: LCM of 582, 924, 240, 510 is 30473520.
2. How to calculate the LCM of 582, 924, 240, 510?
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 582, 924, 240, 510.
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}.