Find the LCM of 258, 874, 645, 345 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 258, 874, 645, 345. So, keep reading to learn more.
Given numbers are 258,874,645,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 258,874,645,345 is 563730.
Find LCM of 258,874,645,345 with Prime Factorization
2 | 258, 874, 645, 345 |
3 | 129, 437, 645, 345 |
5 | 43, 437, 215, 115 |
23 | 43, 437, 43, 23 |
43 | 43, 19, 43, 1 |
1, 19, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 43 x 1 x 19 x 1 x 1 = 563730
Therefore, the lowest common multiple of 258,874,645,345 is 563730.
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.
258 x 874 x 645 x 345 = 50177607300
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.
258 : 1, 2, 3, 6, 43, 86, 129, 258
874 : 1, 2, 19, 23, 38, 46, 437, 874
645 : 1, 3, 5, 15, 43, 129, 215, 645
345 : 1, 3, 5, 15, 23, 69, 115, 345
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,874,645,345, is 1.
Now, the common factors can be found like this.
258:2x 3x 43
874:2x 19x 23
645:3x 5x 43
345:3x 5x 23
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 5x 23x 43 = 89010
Therefore, the value for common factors is 89010.
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 = 50177607300/(1x89010)
LCM = 50177607300/89010
LCM = 563730
Thus, we can understand that the LCM of 258,874,645,345 is 563730.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 258, 874, 645, 345?
Answer: LCM of 258, 874, 645, 345 is 563730.
2. How to calculate the LCM of 258, 874, 645, 345?
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 258, 874, 645, 345.
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}.