LCM of 871, 633, 886, 402
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 871, 633, 886, 402 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 871, 633, 886, 402. So, keep reading to learn more.
Given numbers are 871,633,886,402
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 871,633,886,402 is 488489898.
Find LCM of 871,633,886,402 with Prime Factorization
| 2 | 871, 633, 886, 402 |
| 3 | 871, 633, 443, 201 |
| 67 | 871, 211, 443, 67 |
| 13, 211, 443, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 67 x 13 x 211 x 443 x 1 = 488489898
Therefore, the lowest common multiple of 871,633,886,402 is 488489898.
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.
871 x 633 x 886 x 402 = 196372938996
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.
871 : 1, 13, 67, 871
633 : 1, 3, 211, 633
886 : 1, 2, 443, 886
402 : 1, 2, 3, 6, 67, 134, 201, 402
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 871,633,886,402, is 1.
Now, the common factors can be found like this.
871:13x 67
633:3x 211
886:2x 443
402:2x 3x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 67 = 402
Therefore, the value for common factors is 402.
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 = 196372938996/(1x402)
LCM = 196372938996/402
LCM = 488489898
Thus, we can understand that the LCM of 871,633,886,402 is 488489898.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 871, 633, 886, 402
1. What is the LCM of 871, 633, 886, 402?
Answer: LCM of 871, 633, 886, 402 is 488489898.
2. How to calculate the LCM of 871, 633, 886, 402?
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 871, 633, 886, 402.
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}.