LCM of 563, 782, 309, 510, 504
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 563, 782, 309, 510, 504 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 563, 782, 309, 510, 504. So, keep reading to learn more.
Given numbers are 563,782,309,510,504
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 563,782,309,510,504 is 57137721480.
Find LCM of 563,782,309,510,504 with Prime Factorization
| 2 | 563, 782, 309, 510, 504 |
| 3 | 563, 391, 309, 255, 252 |
| 17 | 563, 391, 103, 85, 84 |
| 563, 23, 103, 5, 84 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 563 x 23 x 103 x 5 x 84 = 57137721480
Therefore, the lowest common multiple of 563,782,309,510,504 is 57137721480.
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.
563 x 782 x 309 x 510 x 504 = 34968285545760
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.
563 : 1, 563
782 : 1, 2, 17, 23, 34, 46, 391, 782
309 : 1, 3, 103, 309
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 563,782,309,510,504, is 1.
Now, the common factors can be found like this.
563:563
782:2x 17x 23
309:3x 103
510:2x 3x 5x 17
504:2x 2x 2x 3x 3x 7
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 3x 3x 17 = 612
Therefore, the value for common factors is 612.
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 = 34968285545760/(1x612)
LCM = 34968285545760/612
LCM = 57137721480
Thus, we can understand that the LCM of 563,782,309,510,504 is 57137721480.
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FAQs on LCM of 563, 782, 309, 510, 504
1. What is the LCM of 563, 782, 309, 510, 504?
Answer: LCM of 563, 782, 309, 510, 504 is 57137721480.
2. How to calculate the LCM of 563, 782, 309, 510, 504?
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 563, 782, 309, 510, 504.
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}.