Find the LCM of 909, 143, 689, 353 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 909, 143, 689, 353. So, keep reading to learn more.
Given numbers are 909,143,689,353
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 909,143,689,353 is 2431926783.
Find LCM of 909,143,689,353 with Prime Factorization
13 | 909, 143, 689, 353 |
909, 11, 53, 353 |
Multiply the prime numbers at the bottom and the left side.
13 x 909 x 11 x 53 x 353 = 2431926783
Therefore, the lowest common multiple of 909,143,689,353 is 2431926783.
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.
909 x 143 x 689 x 353 = 31615048179
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.
909 : 1, 3, 9, 101, 303, 909
143 : 1, 11, 13, 143
689 : 1, 13, 53, 689
353 : 1, 353
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,143,689,353, is 1.
Now, the common factors can be found like this.
909:3x 3x 101
143:11x 13
689:13x 53
353:353
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 31615048179/(1x13)
LCM = 31615048179/13
LCM = 2431926783
Thus, we can understand that the LCM of 909,143,689,353 is 2431926783.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 909, 143, 689, 353?
Answer: LCM of 909, 143, 689, 353 is 2431926783.
2. How to calculate the LCM of 909, 143, 689, 353?
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 909, 143, 689, 353.
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}.