LCM of 422, 871, 565, 904
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 422, 871, 565, 904 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, 871, 565, 904. So, keep reading to learn more.
Given numbers are 422,871,565,904
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 422,871,565,904 is 830690120.
Find LCM of 422,871,565,904 with Prime Factorization
| 2 | 422, 871, 565, 904 |
| 113 | 211, 871, 565, 452 |
| 211, 871, 5, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 113 x 211 x 871 x 5 x 4 = 830690120
Therefore, the lowest common multiple of 422,871,565,904 is 830690120.
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 871 x 565 x 904 = 187735967120
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
871 : 1, 13, 67, 871
565 : 1, 5, 113, 565
904 : 1, 2, 4, 8, 113, 226, 452, 904
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,871,565,904, is 1.
Now, the common factors can be found like this.
422:2x 211
871:13x 67
565:5x 113
904:2x 2x 2x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 113 = 226
Therefore, the value for common factors is 226.
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 = 187735967120/(1x226)
LCM = 187735967120/226
LCM = 830690120
Thus, we can understand that the LCM of 422,871,565,904 is 830690120.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 422, 871, 565, 904
1. What is the LCM of 422, 871, 565, 904?
Answer: LCM of 422, 871, 565, 904 is 830690120.
2. How to calculate the LCM of 422, 871, 565, 904?
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, 871, 565, 904.
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}.