LCM of 393, 903, 432, 719
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 393, 903, 432, 719 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 393, 903, 432, 719. So, keep reading to learn more.
Given numbers are 393,903,432,719
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 393,903,432,719 is 12247584048.
Find LCM of 393,903,432,719 with Prime Factorization
| 3 | 393, 903, 432, 719 |
| 131, 301, 144, 719 |
Multiply the prime numbers at the bottom and the left side.
3 x 131 x 301 x 144 x 719 = 12247584048
Therefore, the lowest common multiple of 393,903,432,719 is 12247584048.
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.
393 x 903 x 432 x 719 = 110228256432
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.
393 : 1, 3, 131, 393
903 : 1, 3, 7, 21, 43, 129, 301, 903
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
719 : 1, 719
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 393,903,432,719, is 1.
Now, the common factors can be found like this.
393:3x 131
903:3x 7x 43
432:2x 2x 2x 2x 3x 3x 3
719:719
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 110228256432/(1x9)
LCM = 110228256432/9
LCM = 12247584048
Thus, we can understand that the LCM of 393,903,432,719 is 12247584048.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 393, 903, 432, 719
1. What is the LCM of 393, 903, 432, 719?
Answer: LCM of 393, 903, 432, 719 is 12247584048.
2. How to calculate the LCM of 393, 903, 432, 719?
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 393, 903, 432, 719.
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}.