LCM of 423, 939, 846, 321, 907
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 423, 939, 846, 321, 907 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 423, 939, 846, 321, 907. So, keep reading to learn more.
Given numbers are 423,939,846,321,907
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 423,939,846,321,907 is 25698381102.
Find LCM of 423,939,846,321,907 with Prime Factorization
| 3 | 423, 939, 846, 321, 907 |
| 3 | 141, 313, 282, 107, 907 |
| 47 | 47, 313, 94, 107, 907 |
| 1, 313, 2, 107, 907 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 47 x 1 x 313 x 2 x 107 x 907 = 25698381102
Therefore, the lowest common multiple of 423,939,846,321,907 is 25698381102.
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.
423 x 939 x 846 x 321 x 907 = 97833736855314
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.
423 : 1, 3, 9, 47, 141, 423
939 : 1, 3, 313, 939
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
321 : 1, 3, 107, 321
907 : 1, 907
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 423,939,846,321,907, is 1.
Now, the common factors can be found like this.
423:3x 3x 47
939:3x 313
846:2x 3x 3x 47
321:3x 107
907:907
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 47 = 3807
Therefore, the value for common factors is 3807.
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 = 97833736855314/(1x3807)
LCM = 97833736855314/3807
LCM = 25698381102
Thus, we can understand that the LCM of 423,939,846,321,907 is 25698381102.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 423, 939, 846, 321, 907
1. What is the LCM of 423, 939, 846, 321, 907?
Answer: LCM of 423, 939, 846, 321, 907 is 25698381102.
2. How to calculate the LCM of 423, 939, 846, 321, 907?
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 423, 939, 846, 321, 907.
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}.