LCM of 366, 407, 592, 488
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 366, 407, 592, 488 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 366, 407, 592, 488. So, keep reading to learn more.
Given numbers are 366,407,592,488
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 366,407,592,488 is 1191696.
Find LCM of 366,407,592,488 with Prime Factorization
| 2 | 366, 407, 592, 488 |
| 2 | 183, 407, 296, 244 |
| 2 | 183, 407, 148, 122 |
| 37 | 183, 407, 74, 61 |
| 61 | 183, 11, 2, 61 |
| 3, 11, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 37 x 61 x 3 x 11 x 2 x 1 = 1191696
Therefore, the lowest common multiple of 366,407,592,488 is 1191696.
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.
366 x 407 x 592 x 488 = 43034525952
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.
366 : 1, 2, 3, 6, 61, 122, 183, 366
407 : 1, 11, 37, 407
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
488 : 1, 2, 4, 8, 61, 122, 244, 488
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 366,407,592,488, is 1.
Now, the common factors can be found like this.
366:2x 3x 61
407:11x 37
592:2x 2x 2x 2x 37
488:2x 2x 2x 61
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 37x 61 = 36112
Therefore, the value for common factors is 36112.
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 = 43034525952/(1x36112)
LCM = 43034525952/36112
LCM = 1191696
Thus, we can understand that the LCM of 366,407,592,488 is 1191696.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 366, 407, 592, 488
1. What is the LCM of 366, 407, 592, 488?
Answer: LCM of 366, 407, 592, 488 is 1191696.
2. How to calculate the LCM of 366, 407, 592, 488?
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 366, 407, 592, 488.
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}.