LCM of 803, 887, 341, 405
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 803, 887, 341, 405 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 803, 887, 341, 405. So, keep reading to learn more.
Given numbers are 803,887,341,405
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 803,887,341,405 is 8942436855.
Find LCM of 803,887,341,405 with Prime Factorization
| 11 | 803, 887, 341, 405 |
| 73, 887, 31, 405 |
Multiply the prime numbers at the bottom and the left side.
11 x 73 x 887 x 31 x 405 = 8942436855
Therefore, the lowest common multiple of 803,887,341,405 is 8942436855.
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.
803 x 887 x 341 x 405 = 98366805405
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.
803 : 1, 11, 73, 803
887 : 1, 887
341 : 1, 11, 31, 341
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,887,341,405, is 1.
Now, the common factors can be found like this.
803:11x 73
887:887
341:11x 31
405:3x 3x 3x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 98366805405/(1x11)
LCM = 98366805405/11
LCM = 8942436855
Thus, we can understand that the LCM of 803,887,341,405 is 8942436855.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 803, 887, 341, 405
1. What is the LCM of 803, 887, 341, 405?
Answer: LCM of 803, 887, 341, 405 is 8942436855.
2. How to calculate the LCM of 803, 887, 341, 405?
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 803, 887, 341, 405.
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}.