Find the LCM of 643, 368, 692, 368, 311 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 643, 368, 692, 368, 311. So, keep reading to learn more.
Given numbers are 643,368,692,368,311
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 643,368,692,368,311 is 12731081072.
Find LCM of 643,368,692,368,311 with Prime Factorization
2 | 643, 368, 692, 368, 311 |
2 | 643, 184, 346, 184, 311 |
2 | 643, 92, 173, 92, 311 |
2 | 643, 46, 173, 46, 311 |
23 | 643, 23, 173, 23, 311 |
643, 1, 173, 1, 311 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 23 x 643 x 1 x 173 x 1 x 311 = 12731081072
Therefore, the lowest common multiple of 643,368,692,368,311 is 12731081072.
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.
643 x 368 x 692 x 368 x 311 = 18740151337984
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.
643 : 1, 643
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
692 : 1, 2, 4, 173, 346, 692
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
311 : 1, 311
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 643,368,692,368,311, is 1.
Now, the common factors can be found like this.
643:643
368:2x 2x 2x 2x 23
692:2x 2x 173
368:2x 2x 2x 2x 23
311:311
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 23 = 1472
Therefore, the value for common factors is 1472.
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 = 18740151337984/(1x1472)
LCM = 18740151337984/1472
LCM = 12731081072
Thus, we can understand that the LCM of 643,368,692,368,311 is 12731081072.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 643, 368, 692, 368, 311?
Answer: LCM of 643, 368, 692, 368, 311 is 12731081072.
2. How to calculate the LCM of 643, 368, 692, 368, 311?
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 643, 368, 692, 368, 311.
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}.