LCM of 482, 724, 362, 580, 494
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 482, 724, 362, 580, 494 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 482, 724, 362, 580, 494. So, keep reading to learn more.
Given numbers are 482,724,362,580,494
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 482,724,362,580,494 is 6249144460.
Find LCM of 482,724,362,580,494 with Prime Factorization
| 2 | 482, 724, 362, 580, 494 |
| 2 | 241, 362, 181, 290, 247 |
| 181 | 241, 181, 181, 145, 247 |
| 241, 1, 1, 145, 247 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 181 x 241 x 1 x 1 x 145 x 247 = 6249144460
Therefore, the lowest common multiple of 482,724,362,580,494 is 6249144460.
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.
482 x 724 x 362 x 580 x 494 = 36195044712320
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.
482 : 1, 2, 241, 482
724 : 1, 2, 4, 181, 362, 724
362 : 1, 2, 181, 362
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
494 : 1, 2, 13, 19, 26, 38, 247, 494
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 482,724,362,580,494, is 2.
Now, the common factors can be found like this.
482:2x 241
724:2x 2x 181
362:2x 181
580:2x 2x 5x 29
494:2x 13x 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 181 = 2896
Therefore, the value for common factors is 2896.
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 = 36195044712320/(2x2896)
LCM = 36195044712320/5792
LCM = 6249144460
Thus, we can understand that the LCM of 482,724,362,580,494 is 6249144460.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 482, 724, 362, 580, 494
1. What is the LCM of 482, 724, 362, 580, 494?
Answer: LCM of 482, 724, 362, 580, 494 is 6249144460.
2. How to calculate the LCM of 482, 724, 362, 580, 494?
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 482, 724, 362, 580, 494.
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}.