Find the LCM of 592, 291, 211, 320, 973 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, 291, 211, 320, 973. So, keep reading to learn more.
Given numbers are 592,291,211,320,973
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 592,291,211,320,973 is 707359168320.
Find LCM of 592,291,211,320,973 with Prime Factorization
2 | 592, 291, 211, 320, 973 |
2 | 296, 291, 211, 160, 973 |
2 | 148, 291, 211, 80, 973 |
2 | 74, 291, 211, 40, 973 |
37, 291, 211, 20, 973 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 37 x 291 x 211 x 20 x 973 = 707359168320
Therefore, the lowest common multiple of 592,291,211,320,973 is 707359168320.
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 291 x 211 x 320 x 973 = 11317746693120
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
291 : 1, 3, 97, 291
211 : 1, 211
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
973 : 1, 7, 139, 973
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 592,291,211,320,973, is 1.
Now, the common factors can be found like this.
592:2x 2x 2x 2x 37
291:3x 97
211:211
320:2x 2x 2x 2x 2x 2x 5
973:7x 139
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 2 = 16
Therefore, the value for common factors is 16.
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 = 11317746693120/(1x16)
LCM = 11317746693120/16
LCM = 707359168320
Thus, we can understand that the LCM of 592,291,211,320,973 is 707359168320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 592, 291, 211, 320, 973?
Answer: LCM of 592, 291, 211, 320, 973 is 707359168320.
2. How to calculate the LCM of 592, 291, 211, 320, 973?
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, 291, 211, 320, 973.
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}.