LCM of 487, 529, 644, 282, 360
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 487, 529, 644, 282, 360 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 487, 529, 644, 282, 360. So, keep reading to learn more.
Given numbers are 487,529,644,282,360
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 487,529,644,282,360 is 30512868120.
Find LCM of 487,529,644,282,360 with Prime Factorization
| 2 | 487, 529, 644, 282, 360 |
| 2 | 487, 529, 322, 141, 180 |
| 3 | 487, 529, 161, 141, 90 |
| 23 | 487, 529, 161, 47, 30 |
| 487, 23, 7, 47, 30 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 487 x 23 x 7 x 47 x 30 = 30512868120
Therefore, the lowest common multiple of 487,529,644,282,360 is 30512868120.
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.
487 x 529 x 644 x 282 x 360 = 16843103202240
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.
487 : 1, 487
529 : 1, 23, 529
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
282 : 1, 2, 3, 6, 47, 94, 141, 282
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,529,644,282,360, is 1.
Now, the common factors can be found like this.
487:487
529:23x 23
644:2x 2x 7x 23
282:2x 3x 47
360:2x 2x 2x 3x 3x 5
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 23 = 552
Therefore, the value for common factors is 552.
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 = 16843103202240/(1x552)
LCM = 16843103202240/552
LCM = 30512868120
Thus, we can understand that the LCM of 487,529,644,282,360 is 30512868120.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 487, 529, 644, 282, 360
1. What is the LCM of 487, 529, 644, 282, 360?
Answer: LCM of 487, 529, 644, 282, 360 is 30512868120.
2. How to calculate the LCM of 487, 529, 644, 282, 360?
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 487, 529, 644, 282, 360.
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}.