Find the LCM of 649, 262, 990, 786 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 649, 262, 990, 786. So, keep reading to learn more.
Given numbers are 649,262,990,786
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,262,990,786 is 7651710.
Find LCM of 649,262,990,786 with Prime Factorization
2 | 649, 262, 990, 786 |
3 | 649, 131, 495, 393 |
11 | 649, 131, 165, 131 |
131 | 59, 131, 15, 131 |
59, 1, 15, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 131 x 59 x 1 x 15 x 1 = 7651710
Therefore, the lowest common multiple of 649,262,990,786 is 7651710.
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.
649 x 262 x 990 x 786 = 132313369320
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.
649 : 1, 11, 59, 649
262 : 1, 2, 131, 262
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
786 : 1, 2, 3, 6, 131, 262, 393, 786
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,262,990,786, is 1.
Now, the common factors can be found like this.
649:11x 59
262:2x 131
990:2x 3x 3x 5x 11
786:2x 3x 131
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 11x 131 = 17292
Therefore, the value for common factors is 17292.
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 = 132313369320/(1x17292)
LCM = 132313369320/17292
LCM = 7651710
Thus, we can understand that the LCM of 649,262,990,786 is 7651710.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 649, 262, 990, 786?
Answer: LCM of 649, 262, 990, 786 is 7651710.
2. How to calculate the LCM of 649, 262, 990, 786?
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 649, 262, 990, 786.
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}.