Find the LCM of 372, 789, 611, 585, 326 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 372, 789, 611, 585, 326. So, keep reading to learn more.
Given numbers are 372,789,611,585,326
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 372,789,611,585,326 is 146156711220.
Find LCM of 372,789,611,585,326 with Prime Factorization
2 | 372, 789, 611, 585, 326 |
3 | 186, 789, 611, 585, 163 |
13 | 62, 263, 611, 195, 163 |
62, 263, 47, 15, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 62 x 263 x 47 x 15 x 163 = 146156711220
Therefore, the lowest common multiple of 372,789,611,585,326 is 146156711220.
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.
372 x 789 x 611 x 585 x 326 = 34200670425480
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.
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
789 : 1, 3, 263, 789
611 : 1, 13, 47, 611
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
326 : 1, 2, 163, 326
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 372,789,611,585,326, is 1.
Now, the common factors can be found like this.
372:2x 2x 3x 31
789:3x 263
611:13x 47
585:3x 3x 5x 13
326:2x 163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 13 = 234
Therefore, the value for common factors is 234.
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 = 34200670425480/(1x234)
LCM = 34200670425480/234
LCM = 146156711220
Thus, we can understand that the LCM of 372,789,611,585,326 is 146156711220.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 372, 789, 611, 585, 326?
Answer: LCM of 372, 789, 611, 585, 326 is 146156711220.
2. How to calculate the LCM of 372, 789, 611, 585, 326?
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 372, 789, 611, 585, 326.
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}.