Find the LCM of 152, 394, 512, 589 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 152, 394, 512, 589. So, keep reading to learn more.
Given numbers are 152,394,512,589
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 152,394,512,589 is 59408896.
Find LCM of 152,394,512,589 with Prime Factorization
2 | 152, 394, 512, 589 |
2 | 76, 197, 256, 589 |
2 | 38, 197, 128, 589 |
19 | 19, 197, 64, 589 |
1, 197, 64, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 19 x 1 x 197 x 64 x 31 = 59408896
Therefore, the lowest common multiple of 152,394,512,589 is 59408896.
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.
152 x 394 x 512 x 589 = 18060304384
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.
152 : 1, 2, 4, 8, 19, 38, 76, 152
394 : 1, 2, 197, 394
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
589 : 1, 19, 31, 589
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 152,394,512,589, is 1.
Now, the common factors can be found like this.
152:2x 2x 2x 19
394:2x 197
512:2x 2x 2x 2x 2x 2x 2x 2x 2
589:19x 31
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 19 = 304
Therefore, the value for common factors is 304.
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 = 18060304384/(1x304)
LCM = 18060304384/304
LCM = 59408896
Thus, we can understand that the LCM of 152,394,512,589 is 59408896.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 152, 394, 512, 589?
Answer: LCM of 152, 394, 512, 589 is 59408896.
2. How to calculate the LCM of 152, 394, 512, 589?
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 152, 394, 512, 589.
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}.