Find the LCM of 532, 515, 663, 560, 812 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 532, 515, 663, 560, 812. So, keep reading to learn more.
Given numbers are 532,515,663,560,812
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 532,515,663,560,812 is 21071253840.
Find LCM of 532,515,663,560,812 with Prime Factorization
2 | 532, 515, 663, 560, 812 |
2 | 266, 515, 663, 280, 406 |
5 | 133, 515, 663, 140, 203 |
7 | 133, 103, 663, 28, 203 |
19, 103, 663, 4, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 19 x 103 x 663 x 4 x 29 = 21071253840
Therefore, the lowest common multiple of 532,515,663,560,812 is 21071253840.
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.
532 x 515 x 663 x 560 x 812 = 82599315052800
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.
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
515 : 1, 5, 103, 515
663 : 1, 3, 13, 17, 39, 51, 221, 663
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 532,515,663,560,812, is 1.
Now, the common factors can be found like this.
532:2x 2x 7x 19
515:5x 103
663:3x 13x 17
560:2x 2x 2x 2x 5x 7
812:2x 2x 7x 29
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 2x 5x 7x 7 = 3920
Therefore, the value for common factors is 3920.
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 = 82599315052800/(1x3920)
LCM = 82599315052800/3920
LCM = 21071253840
Thus, we can understand that the LCM of 532,515,663,560,812 is 21071253840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 532, 515, 663, 560, 812?
Answer: LCM of 532, 515, 663, 560, 812 is 21071253840.
2. How to calculate the LCM of 532, 515, 663, 560, 812?
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 532, 515, 663, 560, 812.
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}.