Find the LCM of 209, 658, 367, 895, 164 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 209, 658, 367, 895, 164. So, keep reading to learn more.
Given numbers are 209,658,367,895,164
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 209,658,367,895,164 is 3704035425860.
Find LCM of 209,658,367,895,164 with Prime Factorization
2 | 209, 658, 367, 895, 164 |
209, 329, 367, 895, 82 |
Multiply the prime numbers at the bottom and the left side.
2 x 209 x 329 x 367 x 895 x 82 = 3704035425860
Therefore, the lowest common multiple of 209,658,367,895,164 is 3704035425860.
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.
209 x 658 x 367 x 895 x 164 = 7408070851720
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.
209 : 1, 11, 19, 209
658 : 1, 2, 7, 14, 47, 94, 329, 658
367 : 1, 367
895 : 1, 5, 179, 895
164 : 1, 2, 4, 41, 82, 164
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,658,367,895,164, is 1.
Now, the common factors can be found like this.
209:11x 19
658:2x 7x 47
367:367
895:5x 179
164:2x 2x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 7408070851720/(1x2)
LCM = 7408070851720/2
LCM = 3704035425860
Thus, we can understand that the LCM of 209,658,367,895,164 is 3704035425860.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 209, 658, 367, 895, 164?
Answer: LCM of 209, 658, 367, 895, 164 is 3704035425860.
2. How to calculate the LCM of 209, 658, 367, 895, 164?
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 209, 658, 367, 895, 164.
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}.