Find the LCM of 794, 616, 816, 149, 692 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 794, 616, 816, 149, 692. So, keep reading to learn more.
Given numbers are 794,616,816,149,692
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 794,616,816,149,692 is 642989324208.
Find LCM of 794,616,816,149,692 with Prime Factorization
2 | 794, 616, 816, 149, 692 |
2 | 397, 308, 408, 149, 346 |
2 | 397, 154, 204, 149, 173 |
397, 77, 102, 149, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 397 x 77 x 102 x 149 x 173 = 642989324208
Therefore, the lowest common multiple of 794,616,816,149,692 is 642989324208.
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.
794 x 616 x 816 x 149 x 692 = 41151316749312
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.
794 : 1, 2, 397, 794
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
149 : 1, 149
692 : 1, 2, 4, 173, 346, 692
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 794,616,816,149,692, is 1.
Now, the common factors can be found like this.
794:2x 397
616:2x 2x 2x 7x 11
816:2x 2x 2x 2x 3x 17
149:149
692:2x 2x 173
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 2 = 64
Therefore, the value for common factors is 64.
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 = 41151316749312/(1x64)
LCM = 41151316749312/64
LCM = 642989324208
Thus, we can understand that the LCM of 794,616,816,149,692 is 642989324208.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 794, 616, 816, 149, 692?
Answer: LCM of 794, 616, 816, 149, 692 is 642989324208.
2. How to calculate the LCM of 794, 616, 816, 149, 692?
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 794, 616, 816, 149, 692.
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}.