Find the LCM of 592, 227, 975, 507, 136 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, 227, 975, 507, 136. So, keep reading to learn more.
Given numbers are 592,227,975,507,136
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 592,227,975,507,136 is 28956392400.
Find LCM of 592,227,975,507,136 with Prime Factorization
2 | 592, 227, 975, 507, 136 |
2 | 296, 227, 975, 507, 68 |
2 | 148, 227, 975, 507, 34 |
3 | 74, 227, 975, 507, 17 |
13 | 74, 227, 325, 169, 17 |
74, 227, 25, 13, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 74 x 227 x 25 x 13 x 17 = 28956392400
Therefore, the lowest common multiple of 592,227,975,507,136 is 28956392400.
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 227 x 975 x 507 x 136 = 9034394428800
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
227 : 1, 227
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
507 : 1, 3, 13, 39, 169, 507
136 : 1, 2, 4, 8, 17, 34, 68, 136
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 592,227,975,507,136, is 1.
Now, the common factors can be found like this.
592:2x 2x 2x 2x 37
227:227
975:3x 5x 5x 13
507:3x 13x 13
136:2x 2x 2x 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 2x 2x 3x 13 = 312
Therefore, the value for common factors is 312.
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 = 9034394428800/(1x312)
LCM = 9034394428800/312
LCM = 28956392400
Thus, we can understand that the LCM of 592,227,975,507,136 is 28956392400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 592, 227, 975, 507, 136?
Answer: LCM of 592, 227, 975, 507, 136 is 28956392400.
2. How to calculate the LCM of 592, 227, 975, 507, 136?
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, 227, 975, 507, 136.
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}.