Find the LCM of 593, 535, 745, 168, 252 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 593, 535, 745, 168, 252. So, keep reading to learn more.
Given numbers are 593,535,745,168,252
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 593,535,745,168,252 is 23824581480.
Find LCM of 593,535,745,168,252 with Prime Factorization
2 | 593, 535, 745, 168, 252 |
2 | 593, 535, 745, 84, 126 |
3 | 593, 535, 745, 42, 63 |
5 | 593, 535, 745, 14, 21 |
7 | 593, 107, 149, 14, 21 |
593, 107, 149, 2, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 593 x 107 x 149 x 2 x 3 = 23824581480
Therefore, the lowest common multiple of 593,535,745,168,252 is 23824581480.
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.
593 x 535 x 745 x 168 x 252 = 10006324221600
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.
593 : 1, 593
535 : 1, 5, 107, 535
745 : 1, 5, 149, 745
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 593,535,745,168,252, is 1.
Now, the common factors can be found like this.
593:593
535:5x 107
745:5x 149
168:2x 2x 2x 3x 7
252:2x 2x 3x 3x 7
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 3x 5x 7 = 420
Therefore, the value for common factors is 420.
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 = 10006324221600/(1x420)
LCM = 10006324221600/420
LCM = 23824581480
Thus, we can understand that the LCM of 593,535,745,168,252 is 23824581480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 593, 535, 745, 168, 252?
Answer: LCM of 593, 535, 745, 168, 252 is 23824581480.
2. How to calculate the LCM of 593, 535, 745, 168, 252?
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 593, 535, 745, 168, 252.
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}.