Find the LCM of 326, 193, 209, 612, 774 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 326, 193, 209, 612, 774. So, keep reading to learn more.
Given numbers are 326,193,209,612,774
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 326,193,209,612,774 is 173025884196.
Find LCM of 326,193,209,612,774 with Prime Factorization
2 | 326, 193, 209, 612, 774 |
3 | 163, 193, 209, 306, 387 |
3 | 163, 193, 209, 102, 129 |
163, 193, 209, 34, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 163 x 193 x 209 x 34 x 43 = 173025884196
Therefore, the lowest common multiple of 326,193,209,612,774 is 173025884196.
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.
326 x 193 x 209 x 612 x 774 = 6228931831056
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.
326 : 1, 2, 163, 326
193 : 1, 193
209 : 1, 11, 19, 209
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,193,209,612,774, is 1.
Now, the common factors can be found like this.
326:2x 163
193:193
209:11x 19
612:2x 2x 3x 3x 17
774:2x 3x 3x 43
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 6228931831056/(1x36)
LCM = 6228931831056/36
LCM = 173025884196
Thus, we can understand that the LCM of 326,193,209,612,774 is 173025884196.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 326, 193, 209, 612, 774?
Answer: LCM of 326, 193, 209, 612, 774 is 173025884196.
2. How to calculate the LCM of 326, 193, 209, 612, 774?
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 326, 193, 209, 612, 774.
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}.