Find the LCM of 678, 168, 616, 385, 960 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 678, 168, 616, 385, 960. So, keep reading to learn more.
Given numbers are 678,168,616,385,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,168,616,385,960 is 8352960.
Find LCM of 678,168,616,385,960 with Prime Factorization
2 | 678, 168, 616, 385, 960 |
2 | 339, 84, 308, 385, 480 |
2 | 339, 42, 154, 385, 240 |
3 | 339, 21, 77, 385, 120 |
5 | 113, 7, 77, 385, 40 |
7 | 113, 7, 77, 77, 8 |
11 | 113, 1, 11, 11, 8 |
113, 1, 1, 1, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 11 x 113 x 1 x 1 x 1 x 8 = 8352960
Therefore, the lowest common multiple of 678,168,616,385,960 is 8352960.
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.
678 x 168 x 616 x 385 x 960 = 25932933734400
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.
678 : 1, 2, 3, 6, 113, 226, 339, 678
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
385 : 1, 5, 7, 11, 35, 55, 77, 385
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,168,616,385,960, is 1.
Now, the common factors can be found like this.
678:2x 3x 113
168:2x 2x 2x 3x 7
616:2x 2x 2x 7x 11
385:5x 7x 11
960:2x 2x 2x 2x 2x 2x 3x 5
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 2x 2x 2x 3x 3x 5x 7x 7x 11 = 3104640
Therefore, the value for common factors is 3104640.
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 = 25932933734400/(1x3104640)
LCM = 25932933734400/3104640
LCM = 8352960
Thus, we can understand that the LCM of 678,168,616,385,960 is 8352960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 678, 168, 616, 385, 960?
Answer: LCM of 678, 168, 616, 385, 960 is 8352960.
2. How to calculate the LCM of 678, 168, 616, 385, 960?
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 678, 168, 616, 385, 960.
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}.