LCM of 584, 312, 608, 361
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 584, 312, 608, 361 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, 312, 608, 361. So, keep reading to learn more.
Given numbers are 584,312,608,361
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 584,312,608,361 is 32888544.
Find LCM of 584,312,608,361 with Prime Factorization
| 2 | 584, 312, 608, 361 |
| 2 | 292, 156, 304, 361 |
| 2 | 146, 78, 152, 361 |
| 19 | 73, 39, 76, 361 |
| 73, 39, 4, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 19 x 73 x 39 x 4 x 19 = 32888544
Therefore, the lowest common multiple of 584,312,608,361 is 32888544.
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 312 x 608 x 361 = 39992469504
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
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
361 : 1, 19, 361
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,312,608,361, is 1.
Now, the common factors can be found like this.
584:2x 2x 2x 73
312:2x 2x 2x 3x 13
608:2x 2x 2x 2x 2x 19
361:19x 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 2x 2x 2x 2x 2x 19 = 1216
Therefore, the value for common factors is 1216.
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 = 39992469504/(1x1216)
LCM = 39992469504/1216
LCM = 32888544
Thus, we can understand that the LCM of 584,312,608,361 is 32888544.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 584, 312, 608, 361
1. What is the LCM of 584, 312, 608, 361?
Answer: LCM of 584, 312, 608, 361 is 32888544.
2. How to calculate the LCM of 584, 312, 608, 361?
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, 312, 608, 361.
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}.