Find the LCM of 496, 828, 144, 654, 717 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, 828, 144, 654, 717. So, keep reading to learn more.
Given numbers are 496,828,144,654,717
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 496,828,144,654,717 is 2674708272.
Find LCM of 496,828,144,654,717 with Prime Factorization
2 | 496, 828, 144, 654, 717 |
2 | 248, 414, 72, 327, 717 |
2 | 124, 207, 36, 327, 717 |
2 | 62, 207, 18, 327, 717 |
3 | 31, 207, 9, 327, 717 |
3 | 31, 69, 3, 109, 239 |
31, 23, 1, 109, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 31 x 23 x 1 x 109 x 239 = 2674708272
Therefore, the lowest common multiple of 496,828,144,654,717 is 2674708272.
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 828 x 144 x 654 x 717 = 27731375364096
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
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
654 : 1, 2, 3, 6, 109, 218, 327, 654
717 : 1, 3, 239, 717
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,828,144,654,717, is 1.
Now, the common factors can be found like this.
496:2x 2x 2x 2x 31
828:2x 2x 3x 3x 23
144:2x 2x 2x 2x 3x 3
654:2x 3x 109
717:3x 239
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 2x 3x 3x 3x 3 = 10368
Therefore, the value for common factors is 10368.
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 = 27731375364096/(1x10368)
LCM = 27731375364096/10368
LCM = 2674708272
Thus, we can understand that the LCM of 496,828,144,654,717 is 2674708272.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 496, 828, 144, 654, 717?
Answer: LCM of 496, 828, 144, 654, 717 is 2674708272.
2. How to calculate the LCM of 496, 828, 144, 654, 717?
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, 828, 144, 654, 717.
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}.