LCM of 923, 803, 913, 644, 466
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 923, 803, 913, 644, 466 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 923, 803, 913, 644, 466. So, keep reading to learn more.
Given numbers are 923,803,913,644,466
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 923,803,913,644,466 is 9230752935404.
Find LCM of 923,803,913,644,466 with Prime Factorization
| 2 | 923, 803, 913, 644, 466 |
| 11 | 923, 803, 913, 322, 233 |
| 923, 73, 83, 322, 233 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 923 x 73 x 83 x 322 x 233 = 9230752935404
Therefore, the lowest common multiple of 923,803,913,644,466 is 9230752935404.
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.
923 x 803 x 913 x 644 x 466 = 203076564578888
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.
923 : 1, 13, 71, 923
803 : 1, 11, 73, 803
913 : 1, 11, 83, 913
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
466 : 1, 2, 233, 466
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,803,913,644,466, is 1.
Now, the common factors can be found like this.
923:13x 71
803:11x 73
913:11x 83
644:2x 2x 7x 23
466:2x 233
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 203076564578888/(1x22)
LCM = 203076564578888/22
LCM = 9230752935404
Thus, we can understand that the LCM of 923,803,913,644,466 is 9230752935404.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 923, 803, 913, 644, 466
1. What is the LCM of 923, 803, 913, 644, 466?
Answer: LCM of 923, 803, 913, 644, 466 is 9230752935404.
2. How to calculate the LCM of 923, 803, 913, 644, 466?
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 923, 803, 913, 644, 466.
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}.