LCM of 422, 449, 834, 204, 695
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 422, 449, 834, 204, 695 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 422, 449, 834, 204, 695. So, keep reading to learn more.
Given numbers are 422,449,834,204,695
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 422,449,834,204,695 is 13432095420.
Find LCM of 422,449,834,204,695 with Prime Factorization
| 2 | 422, 449, 834, 204, 695 |
| 3 | 211, 449, 417, 102, 695 |
| 139 | 211, 449, 139, 34, 695 |
| 211, 449, 1, 34, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 139 x 211 x 449 x 1 x 34 x 5 = 13432095420
Therefore, the lowest common multiple of 422,449,834,204,695 is 13432095420.
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.
422 x 449 x 834 x 204 x 695 = 22404735160560
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.
422 : 1, 2, 211, 422
449 : 1, 449
834 : 1, 2, 3, 6, 139, 278, 417, 834
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
695 : 1, 5, 139, 695
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,449,834,204,695, is 1.
Now, the common factors can be found like this.
422:2x 211
449:449
834:2x 3x 139
204:2x 2x 3x 17
695:5x 139
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 139 = 1668
Therefore, the value for common factors is 1668.
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 = 22404735160560/(1x1668)
LCM = 22404735160560/1668
LCM = 13432095420
Thus, we can understand that the LCM of 422,449,834,204,695 is 13432095420.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 422, 449, 834, 204, 695
1. What is the LCM of 422, 449, 834, 204, 695?
Answer: LCM of 422, 449, 834, 204, 695 is 13432095420.
2. How to calculate the LCM of 422, 449, 834, 204, 695?
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 422, 449, 834, 204, 695.
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}.