LCM of 638, 217, 869, 899
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 638, 217, 869, 899 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 638, 217, 869, 899. So, keep reading to learn more.
Given numbers are 638,217,869,899
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 638,217,869,899 is 10937234.
Find LCM of 638,217,869,899 with Prime Factorization
| 11 | 638, 217, 869, 899 |
| 29 | 58, 217, 79, 899 |
| 31 | 2, 217, 79, 31 |
| 2, 7, 79, 1 |
Multiply the prime numbers at the bottom and the left side.
11 x 29 x 31 x 2 x 7 x 79 x 1 = 10937234
Therefore, the lowest common multiple of 638,217,869,899 is 10937234.
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.
638 x 217 x 869 x 899 = 108158307026
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.
638 : 1, 2, 11, 22, 29, 58, 319, 638
217 : 1, 7, 31, 217
869 : 1, 11, 79, 869
899 : 1, 29, 31, 899
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,217,869,899, is 1.
Now, the common factors can be found like this.
638:2x 11x 29
217:7x 31
869:11x 79
899:29x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 29x 31 = 9889
Therefore, the value for common factors is 9889.
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 = 108158307026/(1x9889)
LCM = 108158307026/9889
LCM = 10937234
Thus, we can understand that the LCM of 638,217,869,899 is 10937234.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 638, 217, 869, 899
1. What is the LCM of 638, 217, 869, 899?
Answer: LCM of 638, 217, 869, 899 is 10937234.
2. How to calculate the LCM of 638, 217, 869, 899?
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 638, 217, 869, 899.
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}.