Find the LCM of 264, 510, 786, 748, 393 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 264, 510, 786, 748, 393. So, keep reading to learn more.
Given numbers are 264,510,786,748,393
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 264,510,786,748,393 is 2939640.
Find LCM of 264,510,786,748,393 with Prime Factorization
2 | 264, 510, 786, 748, 393 |
2 | 132, 255, 393, 374, 393 |
3 | 66, 255, 393, 187, 393 |
11 | 22, 85, 131, 187, 131 |
17 | 2, 85, 131, 17, 131 |
131 | 2, 5, 131, 1, 131 |
2, 5, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 17 x 131 x 2 x 5 x 1 x 1 x 1 = 2939640
Therefore, the lowest common multiple of 264,510,786,748,393 is 2939640.
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.
264 x 510 x 786 x 748 x 393 = 31109339986560
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.
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
786 : 1, 2, 3, 6, 131, 262, 393, 786
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
393 : 1, 3, 131, 393
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,510,786,748,393, is 1.
Now, the common factors can be found like this.
264:2x 2x 2x 3x 11
510:2x 3x 5x 17
786:2x 3x 131
748:2x 2x 11x 17
393:3x 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 2x 2x 3x 3x 3x 11x 17x 131 = 10582704
Therefore, the value for common factors is 10582704.
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 = 31109339986560/(1x10582704)
LCM = 31109339986560/10582704
LCM = 2939640
Thus, we can understand that the LCM of 264,510,786,748,393 is 2939640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 264, 510, 786, 748, 393?
Answer: LCM of 264, 510, 786, 748, 393 is 2939640.
2. How to calculate the LCM of 264, 510, 786, 748, 393?
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 264, 510, 786, 748, 393.
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}.