LCM of 828, 633, 488, 637, 931
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 828, 633, 488, 637, 931 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 828, 633, 488, 637, 931. So, keep reading to learn more.
Given numbers are 828,633,488,637,931
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,633,488,637,931 is 257967892728.
Find LCM of 828,633,488,637,931 with Prime Factorization
| 2 | 828, 633, 488, 637, 931 |
| 2 | 414, 633, 244, 637, 931 |
| 3 | 207, 633, 122, 637, 931 |
| 7 | 69, 211, 122, 637, 931 |
| 7 | 69, 211, 122, 91, 133 |
| 69, 211, 122, 13, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 7 x 69 x 211 x 122 x 13 x 19 = 257967892728
Therefore, the lowest common multiple of 828,633,488,637,931 is 257967892728.
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.
828 x 633 x 488 x 637 x 931 = 151685120924064
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.
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
633 : 1, 3, 211, 633
488 : 1, 2, 4, 8, 61, 122, 244, 488
637 : 1, 7, 13, 49, 91, 637
931 : 1, 7, 19, 49, 133, 931
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,633,488,637,931, is 1.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
633:3x 211
488:2x 2x 2x 61
637:7x 7x 13
931:7x 7x 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 3x 7x 7 = 588
Therefore, the value for common factors is 588.
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 = 151685120924064/(1x588)
LCM = 151685120924064/588
LCM = 257967892728
Thus, we can understand that the LCM of 828,633,488,637,931 is 257967892728.
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FAQs on LCM of 828, 633, 488, 637, 931
1. What is the LCM of 828, 633, 488, 637, 931?
Answer: LCM of 828, 633, 488, 637, 931 is 257967892728.
2. How to calculate the LCM of 828, 633, 488, 637, 931?
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 828, 633, 488, 637, 931.
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}.