Find the LCM of 597, 352, 874, 920, 237 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, 352, 874, 920, 237. So, keep reading to learn more.
Given numbers are 597,352,874,920,237
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 597,352,874,920,237 is 36274006560.
Find LCM of 597,352,874,920,237 with Prime Factorization
2 | 597, 352, 874, 920, 237 |
2 | 597, 176, 437, 460, 237 |
2 | 597, 88, 437, 230, 237 |
3 | 597, 44, 437, 115, 237 |
23 | 199, 44, 437, 115, 79 |
199, 44, 19, 5, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 23 x 199 x 44 x 19 x 5 x 79 = 36274006560
Therefore, the lowest common multiple of 597,352,874,920,237 is 36274006560.
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 352 x 874 x 920 x 237 = 40046503242240
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
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
874 : 1, 2, 19, 23, 38, 46, 437, 874
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
237 : 1, 3, 79, 237
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 597,352,874,920,237, is 1.
Now, the common factors can be found like this.
597:3x 199
352:2x 2x 2x 2x 2x 11
874:2x 19x 23
920:2x 2x 2x 5x 23
237:3x 79
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 3x 23 = 1104
Therefore, the value for common factors is 1104.
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 = 40046503242240/(1x1104)
LCM = 40046503242240/1104
LCM = 36274006560
Thus, we can understand that the LCM of 597,352,874,920,237 is 36274006560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 597, 352, 874, 920, 237?
Answer: LCM of 597, 352, 874, 920, 237 is 36274006560.
2. How to calculate the LCM of 597, 352, 874, 920, 237?
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, 352, 874, 920, 237.
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}.