LCM of 844, 864, 504, 426
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 844, 864, 504, 426 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 844, 864, 504, 426. So, keep reading to learn more.
Given numbers are 844,864,504,426
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,864,504,426 is 90605088.
Find LCM of 844,864,504,426 with Prime Factorization
| 2 | 844, 864, 504, 426 |
| 2 | 422, 432, 252, 213 |
| 2 | 211, 216, 126, 213 |
| 3 | 211, 108, 63, 213 |
| 3 | 211, 36, 21, 71 |
| 211, 12, 7, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 211 x 12 x 7 x 71 = 90605088
Therefore, the lowest common multiple of 844,864,504,426 is 90605088.
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.
844 x 864 x 504 x 426 = 156565592064
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.
844 : 1, 2, 4, 211, 422, 844
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
426 : 1, 2, 3, 6, 71, 142, 213, 426
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,864,504,426, is 2.
Now, the common factors can be found like this.
844:2x 2x 211
864:2x 2x 2x 2x 2x 3x 3x 3
504:2x 2x 2x 3x 3x 7
426:2x 3x 71
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 3x 3x 3 = 864
Therefore, the value for common factors is 864.
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 = 156565592064/(2x864)
LCM = 156565592064/1728
LCM = 90605088
Thus, we can understand that the LCM of 844,864,504,426 is 90605088.
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FAQs on LCM of 844, 864, 504, 426
1. What is the LCM of 844, 864, 504, 426?
Answer: LCM of 844, 864, 504, 426 is 90605088.
2. How to calculate the LCM of 844, 864, 504, 426?
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 844, 864, 504, 426.
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}.