Find the LCM of 584, 874, 286, 930, 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 584, 874, 286, 930, 345. So, keep reading to learn more.
Given numbers are 584,874,286,930,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 584,874,286,930,345 is 16970055960.
Find LCM of 584,874,286,930,345 with Prime Factorization
2 | 584, 874, 286, 930, 345 |
3 | 292, 437, 143, 465, 345 |
5 | 292, 437, 143, 155, 115 |
23 | 292, 437, 143, 31, 23 |
292, 19, 143, 31, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 292 x 19 x 143 x 31 x 1 = 16970055960
Therefore, the lowest common multiple of 584,874,286,930,345 is 16970055960.
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.
584 x 874 x 286 x 930 x 345 = 46837354449600
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.
584 : 1, 2, 4, 8, 73, 146, 292, 584
874 : 1, 2, 19, 23, 38, 46, 437, 874
286 : 1, 2, 11, 13, 22, 26, 143, 286
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
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 584,874,286,930,345, is 1.
Now, the common factors can be found like this.
584:2x 2x 2x 73
874:2x 19x 23
286:2x 11x 13
930:2x 3x 5x 31
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 2x 2x 3x 5x 23 = 2760
Therefore, the value for common factors is 2760.
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 = 46837354449600/(1x2760)
LCM = 46837354449600/2760
LCM = 16970055960
Thus, we can understand that the LCM of 584,874,286,930,345 is 16970055960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 584, 874, 286, 930, 345?
Answer: LCM of 584, 874, 286, 930, 345 is 16970055960.
2. How to calculate the LCM of 584, 874, 286, 930, 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 584, 874, 286, 930, 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}.