LCM of 428, 501, 315, 729, 644
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 428, 501, 315, 729, 644 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 428, 501, 315, 729, 644. So, keep reading to learn more.
Given numbers are 428,501,315,729,644
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 428,501,315,729,644 is 41945333220.
Find LCM of 428,501,315,729,644 with Prime Factorization
| 2 | 428, 501, 315, 729, 644 |
| 2 | 214, 501, 315, 729, 322 |
| 3 | 107, 501, 315, 729, 161 |
| 3 | 107, 167, 105, 243, 161 |
| 7 | 107, 167, 35, 81, 161 |
| 107, 167, 5, 81, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 107 x 167 x 5 x 81 x 23 = 41945333220
Therefore, the lowest common multiple of 428,501,315,729,644 is 41945333220.
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.
428 x 501 x 315 x 729 x 644 = 31710671914320
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.
428 : 1, 2, 4, 107, 214, 428
501 : 1, 3, 167, 501
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
729 : 1, 3, 9, 27, 81, 243, 729
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,501,315,729,644, is 1.
Now, the common factors can be found like this.
428:2x 2x 107
501:3x 167
315:3x 3x 5x 7
729:3x 3x 3x 3x 3x 3
644:2x 2x 7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 3x 7 = 756
Therefore, the value for common factors is 756.
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 = 31710671914320/(1x756)
LCM = 31710671914320/756
LCM = 41945333220
Thus, we can understand that the LCM of 428,501,315,729,644 is 41945333220.
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FAQs on LCM of 428, 501, 315, 729, 644
1. What is the LCM of 428, 501, 315, 729, 644?
Answer: LCM of 428, 501, 315, 729, 644 is 41945333220.
2. How to calculate the LCM of 428, 501, 315, 729, 644?
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 428, 501, 315, 729, 644.
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}.