Find the LCM of 592, 589, 200, 740, 629 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 592, 589, 200, 740, 629. So, keep reading to learn more.
Given numbers are 592,589,200,740,629
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 592,589,200,740,629 is 148192400.
Find LCM of 592,589,200,740,629 with Prime Factorization
2 | 592, 589, 200, 740, 629 |
2 | 296, 589, 100, 370, 629 |
2 | 148, 589, 50, 185, 629 |
5 | 74, 589, 25, 185, 629 |
37 | 74, 589, 5, 37, 629 |
2, 589, 5, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 37 x 2 x 589 x 5 x 1 x 17 = 148192400
Therefore, the lowest common multiple of 592,589,200,740,629 is 148192400.
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.
592 x 589 x 200 x 740 x 629 = 32460063296000
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.
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
589 : 1, 19, 31, 589
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
629 : 1, 17, 37, 629
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 592,589,200,740,629, is 1.
Now, the common factors can be found like this.
592:2x 2x 2x 2x 37
589:19x 31
200:2x 2x 2x 5x 5
740:2x 2x 5x 37
629:17x 37
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 2x 2x 2x 5x 37x 37 = 219040
Therefore, the value for common factors is 219040.
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 = 32460063296000/(1x219040)
LCM = 32460063296000/219040
LCM = 148192400
Thus, we can understand that the LCM of 592,589,200,740,629 is 148192400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 592, 589, 200, 740, 629?
Answer: LCM of 592, 589, 200, 740, 629 is 148192400.
2. How to calculate the LCM of 592, 589, 200, 740, 629?
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 592, 589, 200, 740, 629.
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}.