Find the LCM of 101, 349, 976, 235, 808 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 101, 349, 976, 235, 808. So, keep reading to learn more.
Given numbers are 101,349,976,235,808
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 101,349,976,235,808 is 8084710640.
Find LCM of 101,349,976,235,808 with Prime Factorization
2 | 101, 349, 976, 235, 808 |
2 | 101, 349, 488, 235, 404 |
2 | 101, 349, 244, 235, 202 |
101 | 101, 349, 122, 235, 101 |
1, 349, 122, 235, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 101 x 1 x 349 x 122 x 235 x 1 = 8084710640
Therefore, the lowest common multiple of 101,349,976,235,808 is 8084710640.
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.
101 x 349 x 976 x 235 x 808 = 6532446197120
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.
101 : 1, 101
349 : 1, 349
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
235 : 1, 5, 47, 235
808 : 1, 2, 4, 8, 101, 202, 404, 808
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 101,349,976,235,808, is 1.
Now, the common factors can be found like this.
101:101
349:349
976:2x 2x 2x 2x 61
235:5x 47
808:2x 2x 2x 101
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 101 = 808
Therefore, the value for common factors is 808.
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 = 6532446197120/(1x808)
LCM = 6532446197120/808
LCM = 8084710640
Thus, we can understand that the LCM of 101,349,976,235,808 is 8084710640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 101, 349, 976, 235, 808?
Answer: LCM of 101, 349, 976, 235, 808 is 8084710640.
2. How to calculate the LCM of 101, 349, 976, 235, 808?
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 101, 349, 976, 235, 808.
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}.