Find the LCM of 852, 351, 131, 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 852, 351, 131, 786. So, keep reading to learn more.
Given numbers are 852,351,131,786
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 852,351,131,786 is 13058604.
Find LCM of 852,351,131,786 with Prime Factorization
2 | 852, 351, 131, 786 |
3 | 426, 351, 131, 393 |
131 | 142, 117, 131, 131 |
142, 117, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 131 x 142 x 117 x 1 x 1 = 13058604
Therefore, the lowest common multiple of 852,351,131,786 is 13058604.
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.
852 x 351 x 131 x 786 = 30792188232
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.
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
351 : 1, 3, 9, 13, 27, 39, 117, 351
131 : 1, 131
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 852,351,131,786, is 1.
Now, the common factors can be found like this.
852:2x 2x 3x 71
351:3x 3x 3x 13
131:131
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 3x 3x 131 = 2358
Therefore, the value for common factors is 2358.
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 = 30792188232/(1x2358)
LCM = 30792188232/2358
LCM = 13058604
Thus, we can understand that the LCM of 852,351,131,786 is 13058604.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 852, 351, 131, 786?
Answer: LCM of 852, 351, 131, 786 is 13058604.
2. How to calculate the LCM of 852, 351, 131, 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 852, 351, 131, 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}.