Find the LCM of 820, 738, 513, 735, 687 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 820, 738, 513, 735, 687. So, keep reading to learn more.
Given numbers are 820,738,513,735,687
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 820,738,513,735,687 is 4720225860.
Find LCM of 820,738,513,735,687 with Prime Factorization
2 | 820, 738, 513, 735, 687 |
3 | 410, 369, 513, 735, 687 |
3 | 410, 123, 171, 245, 229 |
5 | 410, 41, 57, 245, 229 |
41 | 82, 41, 57, 49, 229 |
2, 1, 57, 49, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 41 x 2 x 1 x 57 x 49 x 229 = 4720225860
Therefore, the lowest common multiple of 820,738,513,735,687 is 4720225860.
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.
820 x 738 x 513 x 735 x 687 = 156758700810600
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.
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
513 : 1, 3, 9, 19, 27, 57, 171, 513
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
687 : 1, 3, 229, 687
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,738,513,735,687, is 1.
Now, the common factors can be found like this.
820:2x 2x 5x 41
738:2x 3x 3x 41
513:3x 3x 3x 19
735:3x 5x 7x 7
687:3x 229
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 5x 41 = 33210
Therefore, the value for common factors is 33210.
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 = 156758700810600/(1x33210)
LCM = 156758700810600/33210
LCM = 4720225860
Thus, we can understand that the LCM of 820,738,513,735,687 is 4720225860.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 820, 738, 513, 735, 687?
Answer: LCM of 820, 738, 513, 735, 687 is 4720225860.
2. How to calculate the LCM of 820, 738, 513, 735, 687?
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 820, 738, 513, 735, 687.
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}.