Find the LCM of 101, 229, 687, 106 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, 229, 687, 106. So, keep reading to learn more.
Given numbers are 101,229,687,106
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 101,229,687,106 is 7355022.
Find LCM of 101,229,687,106 with Prime Factorization
229 | 101, 229, 687, 106 |
101, 1, 3, 106 |
Multiply the prime numbers at the bottom and the left side.
229 x 101 x 1 x 3 x 106 = 7355022
Therefore, the lowest common multiple of 101,229,687,106 is 7355022.
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 229 x 687 x 106 = 1684300038
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
229 : 1, 229
687 : 1, 3, 229, 687
106 : 1, 2, 53, 106
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 101,229,687,106, is 1.
Now, the common factors can be found like this.
101:101
229:229
687:3x 229
106:2x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
229 = 229
Therefore, the value for common factors is 229.
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 = 1684300038/(1x229)
LCM = 1684300038/229
LCM = 7355022
Thus, we can understand that the LCM of 101,229,687,106 is 7355022.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 101, 229, 687, 106?
Answer: LCM of 101, 229, 687, 106 is 7355022.
2. How to calculate the LCM of 101, 229, 687, 106?
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, 229, 687, 106.
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}.