LCM of 486, 485, 713, 420, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 486, 485, 713, 420, 144 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 486, 485, 713, 420, 144. So, keep reading to learn more.
Given numbers are 486,485,713,420,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 486,485,713,420,144 is 9411428880.
Find LCM of 486,485,713,420,144 with Prime Factorization
| 2 | 486, 485, 713, 420, 144 |
| 2 | 243, 485, 713, 210, 72 |
| 3 | 243, 485, 713, 105, 36 |
| 3 | 81, 485, 713, 35, 12 |
| 5 | 27, 485, 713, 35, 4 |
| 27, 97, 713, 7, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 27 x 97 x 713 x 7 x 4 = 9411428880
Therefore, the lowest common multiple of 486,485,713,420,144 is 9411428880.
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.
486 x 485 x 713 x 420 x 144 = 10164343190400
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.
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
485 : 1, 5, 97, 485
713 : 1, 23, 31, 713
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,485,713,420,144, is 1.
Now, the common factors can be found like this.
486:2x 3x 3x 3x 3x 3
485:5x 97
713:23x 31
420:2x 2x 3x 5x 7
144:2x 2x 2x 2x 3x 3
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 3x 3x 5 = 1080
Therefore, the value for common factors is 1080.
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 = 10164343190400/(1x1080)
LCM = 10164343190400/1080
LCM = 9411428880
Thus, we can understand that the LCM of 486,485,713,420,144 is 9411428880.
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FAQs on LCM of 486, 485, 713, 420, 144
1. What is the LCM of 486, 485, 713, 420, 144?
Answer: LCM of 486, 485, 713, 420, 144 is 9411428880.
2. How to calculate the LCM of 486, 485, 713, 420, 144?
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 486, 485, 713, 420, 144.
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}.