Find the LCM of 607, 326, 442, 525, 663 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 607, 326, 442, 525, 663. So, keep reading to learn more.
Given numbers are 607,326,442,525,663
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 607,326,442,525,663 is 22959259050.
Find LCM of 607,326,442,525,663 with Prime Factorization
2 | 607, 326, 442, 525, 663 |
3 | 607, 163, 221, 525, 663 |
13 | 607, 163, 221, 175, 221 |
17 | 607, 163, 17, 175, 17 |
607, 163, 1, 175, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 17 x 607 x 163 x 1 x 175 x 1 = 22959259050
Therefore, the lowest common multiple of 607,326,442,525,663 is 22959259050.
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.
607 x 326 x 442 x 525 x 663 = 30443977500300
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.
607 : 1, 607
326 : 1, 2, 163, 326
442 : 1, 2, 13, 17, 26, 34, 221, 442
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
663 : 1, 3, 13, 17, 39, 51, 221, 663
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 607,326,442,525,663, is 1.
Now, the common factors can be found like this.
607:607
326:2x 163
442:2x 13x 17
525:3x 5x 5x 7
663:3x 13x 17
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 13x 17 = 1326
Therefore, the value for common factors is 1326.
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 = 30443977500300/(1x1326)
LCM = 30443977500300/1326
LCM = 22959259050
Thus, we can understand that the LCM of 607,326,442,525,663 is 22959259050.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 607, 326, 442, 525, 663?
Answer: LCM of 607, 326, 442, 525, 663 is 22959259050.
2. How to calculate the LCM of 607, 326, 442, 525, 663?
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 607, 326, 442, 525, 663.
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}.