Find the LCM of 799, 840, 786, 105, 654 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 799, 840, 786, 105, 654. So, keep reading to learn more.
Given numbers are 799,840,786,105,654
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 799,840,786,105,654 is 9583493640.
Find LCM of 799,840,786,105,654 with Prime Factorization
2 | 799, 840, 786, 105, 654 |
3 | 799, 420, 393, 105, 327 |
5 | 799, 140, 131, 35, 109 |
7 | 799, 28, 131, 7, 109 |
799, 4, 131, 1, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 799 x 4 x 131 x 1 x 109 = 9583493640
Therefore, the lowest common multiple of 799,840,786,105,654 is 9583493640.
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.
799 x 840 x 786 x 105 x 654 = 36225605959200
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.
799 : 1, 17, 47, 799
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
786 : 1, 2, 3, 6, 131, 262, 393, 786
105 : 1, 3, 5, 7, 15, 21, 35, 105
654 : 1, 2, 3, 6, 109, 218, 327, 654
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 799,840,786,105,654, is 1.
Now, the common factors can be found like this.
799:17x 47
840:2x 2x 2x 3x 5x 7
786:2x 3x 131
105:3x 5x 7
654:2x 3x 109
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 3x 5x 7 = 3780
Therefore, the value for common factors is 3780.
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 = 36225605959200/(1x3780)
LCM = 36225605959200/3780
LCM = 9583493640
Thus, we can understand that the LCM of 799,840,786,105,654 is 9583493640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 799, 840, 786, 105, 654?
Answer: LCM of 799, 840, 786, 105, 654 is 9583493640.
2. How to calculate the LCM of 799, 840, 786, 105, 654?
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 799, 840, 786, 105, 654.
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}.