LCM of 827, 812, 756, 788, 446
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 827, 812, 756, 788, 446 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 827, 812, 756, 788, 446. So, keep reading to learn more.
Given numbers are 827,812,756,788,446
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 827,812,756,788,446 is 796519462788.
Find LCM of 827,812,756,788,446 with Prime Factorization
| 2 | 827, 812, 756, 788, 446 |
| 2 | 827, 406, 378, 394, 223 |
| 7 | 827, 203, 189, 197, 223 |
| 827, 29, 27, 197, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 827 x 29 x 27 x 197 x 223 = 796519462788
Therefore, the lowest common multiple of 827,812,756,788,446 is 796519462788.
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.
827 x 812 x 756 x 788 x 446 = 178420359664512
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.
827 : 1, 827
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
788 : 1, 2, 4, 197, 394, 788
446 : 1, 2, 223, 446
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,812,756,788,446, is 1.
Now, the common factors can be found like this.
827:827
812:2x 2x 7x 29
756:2x 2x 3x 3x 3x 7
788:2x 2x 197
446:2x 223
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 7 = 224
Therefore, the value for common factors is 224.
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 = 178420359664512/(1x224)
LCM = 178420359664512/224
LCM = 796519462788
Thus, we can understand that the LCM of 827,812,756,788,446 is 796519462788.
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FAQs on LCM of 827, 812, 756, 788, 446
1. What is the LCM of 827, 812, 756, 788, 446?
Answer: LCM of 827, 812, 756, 788, 446 is 796519462788.
2. How to calculate the LCM of 827, 812, 756, 788, 446?
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 827, 812, 756, 788, 446.
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}.