Find the LCM of 205, 118, 758, 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 205, 118, 758, 164. So, keep reading to learn more.
Given numbers are 205,118,758,164
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 205,118,758,164 is 18336020.
Find LCM of 205,118,758,164 with Prime Factorization
2 | 205, 118, 758, 164 |
41 | 205, 59, 379, 82 |
5, 59, 379, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 41 x 5 x 59 x 379 x 2 = 18336020
Therefore, the lowest common multiple of 205,118,758,164 is 18336020.
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.
205 x 118 x 758 x 164 = 3007107280
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.
205 : 1, 5, 41, 205
118 : 1, 2, 59, 118
758 : 1, 2, 379, 758
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 205,118,758,164, is 1.
Now, the common factors can be found like this.
205:5x 41
118:2x 59
758:2x 379
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.
2x 2x 41 = 164
Therefore, the value for common factors is 164.
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 = 3007107280/(1x164)
LCM = 3007107280/164
LCM = 18336020
Thus, we can understand that the LCM of 205,118,758,164 is 18336020.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 205, 118, 758, 164?
Answer: LCM of 205, 118, 758, 164 is 18336020.
2. How to calculate the LCM of 205, 118, 758, 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 205, 118, 758, 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}.