Find the LCM of 309, 426, 604, 764, 678 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 309, 426, 604, 764, 678. So, keep reading to learn more.
Given numbers are 309,426,604,764,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,426,604,764,678 is 285999699948.
Find LCM of 309,426,604,764,678 with Prime Factorization
2 | 309, 426, 604, 764, 678 |
2 | 309, 213, 302, 382, 339 |
3 | 309, 213, 151, 191, 339 |
103, 71, 151, 191, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 103 x 71 x 151 x 191 x 113 = 285999699948
Therefore, the lowest common multiple of 309,426,604,764,678 is 285999699948.
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.
309 x 426 x 604 x 764 x 678 = 41183956792512
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.
309 : 1, 3, 103, 309
426 : 1, 2, 3, 6, 71, 142, 213, 426
604 : 1, 2, 4, 151, 302, 604
764 : 1, 2, 4, 191, 382, 764
678 : 1, 2, 3, 6, 113, 226, 339, 678
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,426,604,764,678, is 1.
Now, the common factors can be found like this.
309:3x 103
426:2x 3x 71
604:2x 2x 151
764:2x 2x 191
678:2x 3x 113
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 3 = 144
Therefore, the value for common factors is 144.
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 = 41183956792512/(1x144)
LCM = 41183956792512/144
LCM = 285999699948
Thus, we can understand that the LCM of 309,426,604,764,678 is 285999699948.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 309, 426, 604, 764, 678?
Answer: LCM of 309, 426, 604, 764, 678 is 285999699948.
2. How to calculate the LCM of 309, 426, 604, 764, 678?
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 309, 426, 604, 764, 678.
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}.