Find the LCM of 609, 593, 290, 685, 652 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 609, 593, 290, 685, 652. So, keep reading to learn more.
Given numbers are 609,593,290,685,652
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 609,593,290,685,652 is 161291006940.
Find LCM of 609,593,290,685,652 with Prime Factorization
2 | 609, 593, 290, 685, 652 |
5 | 609, 593, 145, 685, 326 |
29 | 609, 593, 29, 137, 326 |
21, 593, 1, 137, 326 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 29 x 21 x 593 x 1 x 137 x 326 = 161291006940
Therefore, the lowest common multiple of 609,593,290,685,652 is 161291006940.
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.
609 x 593 x 290 x 685 x 652 = 46774392012600
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.
609 : 1, 3, 7, 21, 29, 87, 203, 609
593 : 1, 593
290 : 1, 2, 5, 10, 29, 58, 145, 290
685 : 1, 5, 137, 685
652 : 1, 2, 4, 163, 326, 652
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 609,593,290,685,652, is 1.
Now, the common factors can be found like this.
609:3x 7x 29
593:593
290:2x 5x 29
685:5x 137
652:2x 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 5x 29 = 290
Therefore, the value for common factors is 290.
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 = 46774392012600/(1x290)
LCM = 46774392012600/290
LCM = 161291006940
Thus, we can understand that the LCM of 609,593,290,685,652 is 161291006940.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 609, 593, 290, 685, 652?
Answer: LCM of 609, 593, 290, 685, 652 is 161291006940.
2. How to calculate the LCM of 609, 593, 290, 685, 652?
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 609, 593, 290, 685, 652.
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}.