Find the LCM of 678, 766, 616, 341, 216 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, 766, 616, 341, 216. So, keep reading to learn more.
Given numbers are 678,766,616,341,216
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,766,616,341,216 is 22314306168.
Find LCM of 678,766,616,341,216 with Prime Factorization
2 | 678, 766, 616, 341, 216 |
2 | 339, 383, 308, 341, 108 |
2 | 339, 383, 154, 341, 54 |
3 | 339, 383, 77, 341, 27 |
11 | 113, 383, 77, 341, 9 |
113, 383, 7, 31, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 113 x 383 x 7 x 31 x 9 = 22314306168
Therefore, the lowest common multiple of 678,766,616,341,216 is 22314306168.
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 766 x 616 x 341 x 216 = 23563907313408
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
766 : 1, 2, 383, 766
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
341 : 1, 11, 31, 341
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,766,616,341,216, is 1.
Now, the common factors can be found like this.
678:2x 3x 113
766:2x 383
616:2x 2x 2x 7x 11
341:11x 31
216:2x 2x 2x 3x 3x 3
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 3x 11 = 1056
Therefore, the value for common factors is 1056.
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 = 23563907313408/(1x1056)
LCM = 23563907313408/1056
LCM = 22314306168
Thus, we can understand that the LCM of 678,766,616,341,216 is 22314306168.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 678, 766, 616, 341, 216?
Answer: LCM of 678, 766, 616, 341, 216 is 22314306168.
2. How to calculate the LCM of 678, 766, 616, 341, 216?
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, 766, 616, 341, 216.
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}.