LCM of 784, 422, 988, 633, 827
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 784, 422, 988, 633, 827 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 784, 422, 988, 633, 827. So, keep reading to learn more.
Given numbers are 784,422,988,633,827
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 784,422,988,633,827 is 101372985168.
Find LCM of 784,422,988,633,827 with Prime Factorization
| 2 | 784, 422, 988, 633, 827 |
| 2 | 392, 211, 494, 633, 827 |
| 211 | 196, 211, 247, 633, 827 |
| 196, 1, 247, 3, 827 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 211 x 196 x 1 x 247 x 3 x 827 = 101372985168
Therefore, the lowest common multiple of 784,422,988,633,827 is 101372985168.
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.
784 x 422 x 988 x 633 x 827 = 171117598963584
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.
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
422 : 1, 2, 211, 422
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
633 : 1, 3, 211, 633
827 : 1, 827
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,422,988,633,827, is 1.
Now, the common factors can be found like this.
784:2x 2x 2x 2x 7x 7
422:2x 211
988:2x 2x 13x 19
633:3x 211
827:827
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 211 = 1688
Therefore, the value for common factors is 1688.
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 = 171117598963584/(1x1688)
LCM = 171117598963584/1688
LCM = 101372985168
Thus, we can understand that the LCM of 784,422,988,633,827 is 101372985168.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 784, 422, 988, 633, 827
1. What is the LCM of 784, 422, 988, 633, 827?
Answer: LCM of 784, 422, 988, 633, 827 is 101372985168.
2. How to calculate the LCM of 784, 422, 988, 633, 827?
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 784, 422, 988, 633, 827.
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}.