Find the LCM of 838, 163, 247, 143, 299 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 838, 163, 247, 143, 299. So, keep reading to learn more.
Given numbers are 838,163,247,143,299
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 838,163,247,143,299 is 8535895654.
Find LCM of 838,163,247,143,299 with Prime Factorization
13 | 838, 163, 247, 143, 299 |
838, 163, 19, 11, 23 |
Multiply the prime numbers at the bottom and the left side.
13 x 838 x 163 x 19 x 11 x 23 = 8535895654
Therefore, the lowest common multiple of 838,163,247,143,299 is 8535895654.
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.
838 x 163 x 247 x 143 x 299 = 1442566365526
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.
838 : 1, 2, 419, 838
163 : 1, 163
247 : 1, 13, 19, 247
143 : 1, 11, 13, 143
299 : 1, 13, 23, 299
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 838,163,247,143,299, is 1.
Now, the common factors can be found like this.
838:2x 419
163:163
247:13x 19
143:11x 13
299:13x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 13 = 169
Therefore, the value for common factors is 169.
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 = 1442566365526/(1x169)
LCM = 1442566365526/169
LCM = 8535895654
Thus, we can understand that the LCM of 838,163,247,143,299 is 8535895654.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 838, 163, 247, 143, 299?
Answer: LCM of 838, 163, 247, 143, 299 is 8535895654.
2. How to calculate the LCM of 838, 163, 247, 143, 299?
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 838, 163, 247, 143, 299.
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}.