LCM of 471, 828, 798, 649, 512
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 471, 828, 798, 649, 512 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 471, 828, 798, 649, 512. So, keep reading to learn more.
Given numbers are 471,828,798,649,512
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,828,798,649,512 is 1436270685696.
Find LCM of 471,828,798,649,512 with Prime Factorization
| 2 | 471, 828, 798, 649, 512 |
| 2 | 471, 414, 399, 649, 256 |
| 3 | 471, 207, 399, 649, 128 |
| 157, 69, 133, 649, 128 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 157 x 69 x 133 x 649 x 128 = 1436270685696
Therefore, the lowest common multiple of 471,828,798,649,512 is 1436270685696.
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.
471 x 828 x 798 x 649 x 512 = 103411489370112
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.
471 : 1, 3, 157, 471
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
649 : 1, 11, 59, 649
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,828,798,649,512, is 1.
Now, the common factors can be found like this.
471:3x 157
828:2x 2x 3x 3x 23
798:2x 3x 7x 19
649:11x 59
512:2x 2x 2x 2x 2x 2x 2x 2x 2
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 3 = 72
Therefore, the value for common factors is 72.
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 = 103411489370112/(1x72)
LCM = 103411489370112/72
LCM = 1436270685696
Thus, we can understand that the LCM of 471,828,798,649,512 is 1436270685696.
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FAQs on LCM of 471, 828, 798, 649, 512
1. What is the LCM of 471, 828, 798, 649, 512?
Answer: LCM of 471, 828, 798, 649, 512 is 1436270685696.
2. How to calculate the LCM of 471, 828, 798, 649, 512?
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 471, 828, 798, 649, 512.
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}.