LCM of 906, 480, 786, 280, 494
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 480, 786, 280, 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 906, 480, 786, 280, 494. So, keep reading to learn more.
Given numbers are 906,480,786,280,494
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,480,786,280,494 is 16416647520.
Find LCM of 906,480,786,280,494 with Prime Factorization
| 2 | 906, 480, 786, 280, 494 |
| 2 | 453, 240, 393, 140, 247 |
| 2 | 453, 120, 393, 70, 247 |
| 3 | 453, 60, 393, 35, 247 |
| 5 | 151, 20, 131, 35, 247 |
| 151, 4, 131, 7, 247 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 151 x 4 x 131 x 7 x 247 = 16416647520
Therefore, the lowest common multiple of 906,480,786,280,494 is 16416647520.
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.
906 x 480 x 786 x 280 x 494 = 47279944857600
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.
906 : 1, 2, 3, 6, 151, 302, 453, 906
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
786 : 1, 2, 3, 6, 131, 262, 393, 786
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
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 906,480,786,280,494, is 2.
Now, the common factors can be found like this.
906:2x 3x 151
480:2x 2x 2x 2x 2x 3x 5
786:2x 3x 131
280:2x 2x 2x 5x 7
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 2x 3x 3x 5 = 1440
Therefore, the value for common factors is 1440.
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 = 47279944857600/(2x1440)
LCM = 47279944857600/2880
LCM = 16416647520
Thus, we can understand that the LCM of 906,480,786,280,494 is 16416647520.
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FAQs on LCM of 906, 480, 786, 280, 494
1. What is the LCM of 906, 480, 786, 280, 494?
Answer: LCM of 906, 480, 786, 280, 494 is 16416647520.
2. How to calculate the LCM of 906, 480, 786, 280, 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 906, 480, 786, 280, 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}.