LCM of 480, 462, 403, 654, 659
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 480, 462, 403, 654, 659 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 480, 462, 403, 654, 659. So, keep reading to learn more.
Given numbers are 480,462,403,654,659
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 480,462,403,654,659 is 1069914125280.
Find LCM of 480,462,403,654,659 with Prime Factorization
| 2 | 480, 462, 403, 654, 659 |
| 3 | 240, 231, 403, 327, 659 |
| 80, 77, 403, 109, 659 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 80 x 77 x 403 x 109 x 659 = 1069914125280
Therefore, the lowest common multiple of 480,462,403,654,659 is 1069914125280.
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.
480 x 462 x 403 x 654 x 659 = 38516908510080
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.
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
403 : 1, 13, 31, 403
654 : 1, 2, 3, 6, 109, 218, 327, 654
659 : 1, 659
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,462,403,654,659, is 1.
Now, the common factors can be found like this.
480:2x 2x 2x 2x 2x 3x 5
462:2x 3x 7x 11
403:13x 31
654:2x 3x 109
659:659
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 38516908510080/(1x36)
LCM = 38516908510080/36
LCM = 1069914125280
Thus, we can understand that the LCM of 480,462,403,654,659 is 1069914125280.
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FAQs on LCM of 480, 462, 403, 654, 659
1. What is the LCM of 480, 462, 403, 654, 659?
Answer: LCM of 480, 462, 403, 654, 659 is 1069914125280.
2. How to calculate the LCM of 480, 462, 403, 654, 659?
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 480, 462, 403, 654, 659.
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}.