LCM of 496, 220, 842, 623, 482
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 496, 220, 842, 623, 482 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 496, 220, 842, 623, 482. So, keep reading to learn more.
Given numbers are 496,220,842,623,482
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 496,220,842,623,482 is 1724374337840.
Find LCM of 496,220,842,623,482 with Prime Factorization
| 2 | 496, 220, 842, 623, 482 |
| 2 | 248, 110, 421, 623, 241 |
| 124, 55, 421, 623, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 124 x 55 x 421 x 623 x 241 = 1724374337840
Therefore, the lowest common multiple of 496,220,842,623,482 is 1724374337840.
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.
496 x 220 x 842 x 623 x 482 = 27589989405440
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.
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
842 : 1, 2, 421, 842
623 : 1, 7, 89, 623
482 : 1, 2, 241, 482
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,220,842,623,482, is 1.
Now, the common factors can be found like this.
496:2x 2x 2x 2x 31
220:2x 2x 5x 11
842:2x 421
623:7x 89
482:2x 241
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 2 = 16
Therefore, the value for common factors is 16.
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 = 27589989405440/(1x16)
LCM = 27589989405440/16
LCM = 1724374337840
Thus, we can understand that the LCM of 496,220,842,623,482 is 1724374337840.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 496, 220, 842, 623, 482
1. What is the LCM of 496, 220, 842, 623, 482?
Answer: LCM of 496, 220, 842, 623, 482 is 1724374337840.
2. How to calculate the LCM of 496, 220, 842, 623, 482?
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 496, 220, 842, 623, 482.
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}.