LCM of 460, 438, 730, 394
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 460, 438, 730, 394 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 460, 438, 730, 394. So, keep reading to learn more.
Given numbers are 460,438,730,394
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 460,438,730,394 is 19845780.
Find LCM of 460,438,730,394 with Prime Factorization
| 2 | 460, 438, 730, 394 |
| 5 | 230, 219, 365, 197 |
| 73 | 46, 219, 73, 197 |
| 46, 3, 1, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 73 x 46 x 3 x 1 x 197 = 19845780
Therefore, the lowest common multiple of 460,438,730,394 is 19845780.
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.
460 x 438 x 730 x 394 = 57949677600
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.
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
438 : 1, 2, 3, 6, 73, 146, 219, 438
730 : 1, 2, 5, 10, 73, 146, 365, 730
394 : 1, 2, 197, 394
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,438,730,394, is 2.
Now, the common factors can be found like this.
460:2x 2x 5x 23
438:2x 3x 73
730:2x 5x 73
394:2x 197
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 5x 73 = 1460
Therefore, the value for common factors is 1460.
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 = 57949677600/(2x1460)
LCM = 57949677600/2920
LCM = 19845780
Thus, we can understand that the LCM of 460,438,730,394 is 19845780.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 460, 438, 730, 394
1. What is the LCM of 460, 438, 730, 394?
Answer: LCM of 460, 438, 730, 394 is 19845780.
2. How to calculate the LCM of 460, 438, 730, 394?
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 460, 438, 730, 394.
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}.