Find the LCM of 836, 793, 426, 323, 510 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 836, 793, 426, 323, 510. So, keep reading to learn more.
Given numbers are 836,793,426,323,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 836,793,426,323,510 is 12002673540.
Find LCM of 836,793,426,323,510 with Prime Factorization
2 | 836, 793, 426, 323, 510 |
3 | 418, 793, 213, 323, 255 |
17 | 418, 793, 71, 323, 85 |
19 | 418, 793, 71, 19, 5 |
22, 793, 71, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 19 x 22 x 793 x 71 x 1 x 5 = 12002673540
Therefore, the lowest common multiple of 836,793,426,323,510 is 12002673540.
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.
836 x 793 x 426 x 323 x 510 = 46522362641040
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.
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
793 : 1, 13, 61, 793
426 : 1, 2, 3, 6, 71, 142, 213, 426
323 : 1, 17, 19, 323
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,793,426,323,510, is 1.
Now, the common factors can be found like this.
836:2x 2x 11x 19
793:13x 61
426:2x 3x 71
323:17x 19
510:2x 3x 5x 17
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 17x 19 = 3876
Therefore, the value for common factors is 3876.
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 = 46522362641040/(1x3876)
LCM = 46522362641040/3876
LCM = 12002673540
Thus, we can understand that the LCM of 836,793,426,323,510 is 12002673540.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 836, 793, 426, 323, 510?
Answer: LCM of 836, 793, 426, 323, 510 is 12002673540.
2. How to calculate the LCM of 836, 793, 426, 323, 510?
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 836, 793, 426, 323, 510.
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}.