Find the LCM of 126, 299, 858, 325 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 126, 299, 858, 325. So, keep reading to learn more.
Given numbers are 126,299,858,325
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 126,299,858,325 is 10360350.
Find LCM of 126,299,858,325 with Prime Factorization
2 | 126, 299, 858, 325 |
3 | 63, 299, 429, 325 |
13 | 21, 299, 143, 325 |
21, 23, 11, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 21 x 23 x 11 x 25 = 10360350
Therefore, the lowest common multiple of 126,299,858,325 is 10360350.
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.
126 x 299 x 858 x 325 = 10505394900
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.
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
299 : 1, 13, 23, 299
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
325 : 1, 5, 13, 25, 65, 325
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 126,299,858,325, is 1.
Now, the common factors can be found like this.
126:2x 3x 3x 7
299:13x 23
858:2x 3x 11x 13
325:5x 5x 13
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 13x 13 = 1014
Therefore, the value for common factors is 1014.
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 = 10505394900/(1x1014)
LCM = 10505394900/1014
LCM = 10360350
Thus, we can understand that the LCM of 126,299,858,325 is 10360350.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 126, 299, 858, 325?
Answer: LCM of 126, 299, 858, 325 is 10360350.
2. How to calculate the LCM of 126, 299, 858, 325?
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 126, 299, 858, 325.
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}.