Find the LCM of 597, 384, 199, 640 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 597, 384, 199, 640. So, keep reading to learn more.
Given numbers are 597,384,199,640
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 597,384,199,640 is 382080.
Find LCM of 597,384,199,640 with Prime Factorization
2 | 597, 384, 199, 640 |
2 | 597, 192, 199, 320 |
2 | 597, 96, 199, 160 |
2 | 597, 48, 199, 80 |
2 | 597, 24, 199, 40 |
2 | 597, 12, 199, 20 |
2 | 597, 6, 199, 10 |
3 | 597, 3, 199, 5 |
199 | 199, 1, 199, 5 |
1, 1, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 199 x 1 x 1 x 1 x 5 = 382080
Therefore, the lowest common multiple of 597,384,199,640 is 382080.
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.
597 x 384 x 199 x 640 = 29197025280
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.
597 : 1, 3, 199, 597
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
199 : 1, 199
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 597,384,199,640, is 1.
Now, the common factors can be found like this.
597:3x 199
384:2x 2x 2x 2x 2x 2x 2x 3
199:199
640:2x 2x 2x 2x 2x 2x 2x 5
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 2x 2x 3x 199 = 76416
Therefore, the value for common factors is 76416.
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 = 29197025280/(1x76416)
LCM = 29197025280/76416
LCM = 382080
Thus, we can understand that the LCM of 597,384,199,640 is 382080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 597, 384, 199, 640?
Answer: LCM of 597, 384, 199, 640 is 382080.
2. How to calculate the LCM of 597, 384, 199, 640?
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 597, 384, 199, 640.
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}.