Find the LCM of 597, 342, 893, 655, 912 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, 342, 893, 655, 912. So, keep reading to learn more.
Given numbers are 597,342,893,655,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 597,342,893,655,912 is 16761324240.
Find LCM of 597,342,893,655,912 with Prime Factorization
2 | 597, 342, 893, 655, 912 |
3 | 597, 171, 893, 655, 456 |
19 | 199, 57, 893, 655, 152 |
199, 3, 47, 655, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 199 x 3 x 47 x 655 x 8 = 16761324240
Therefore, the lowest common multiple of 597,342,893,655,912 is 16761324240.
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 342 x 893 x 655 x 912 = 108915084911520
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
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
893 : 1, 19, 47, 893
655 : 1, 5, 131, 655
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 597,342,893,655,912, is 1.
Now, the common factors can be found like this.
597:3x 199
342:2x 3x 3x 19
893:19x 47
655:5x 131
912:2x 2x 2x 2x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 19x 19 = 6498
Therefore, the value for common factors is 6498.
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 = 108915084911520/(1x6498)
LCM = 108915084911520/6498
LCM = 16761324240
Thus, we can understand that the LCM of 597,342,893,655,912 is 16761324240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 597, 342, 893, 655, 912?
Answer: LCM of 597, 342, 893, 655, 912 is 16761324240.
2. How to calculate the LCM of 597, 342, 893, 655, 912?
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, 342, 893, 655, 912.
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}.