Find the LCM of 909, 730, 936, 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 909, 730, 936, 786. So, keep reading to learn more.
Given numbers are 909,730,936,786
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 909,730,936,786 is 4520238840.
Find LCM of 909,730,936,786 with Prime Factorization
2 | 909, 730, 936, 786 |
3 | 909, 365, 468, 393 |
3 | 303, 365, 156, 131 |
101, 365, 52, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 101 x 365 x 52 x 131 = 4520238840
Therefore, the lowest common multiple of 909,730,936,786 is 4520238840.
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.
909 x 730 x 936 x 786 = 488185794720
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.
909 : 1, 3, 9, 101, 303, 909
730 : 1, 2, 5, 10, 73, 146, 365, 730
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
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 909,730,936,786, is 1.
Now, the common factors can be found like this.
909:3x 3x 101
730:2x 5x 73
936:2x 2x 2x 3x 3x 13
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 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 488185794720/(1x108)
LCM = 488185794720/108
LCM = 4520238840
Thus, we can understand that the LCM of 909,730,936,786 is 4520238840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 909, 730, 936, 786?
Answer: LCM of 909, 730, 936, 786 is 4520238840.
2. How to calculate the LCM of 909, 730, 936, 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 909, 730, 936, 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}.