LCM of 319, 721, 493, 413
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 319, 721, 493, 413 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 319, 721, 493, 413. So, keep reading to learn more.
Given numbers are 319,721,493,413
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,721,493,413 is 230688997.
Find LCM of 319,721,493,413 with Prime Factorization
| 7 | 319, 721, 493, 413 |
| 29 | 319, 103, 493, 59 |
| 11, 103, 17, 59 |
Multiply the prime numbers at the bottom and the left side.
7 x 29 x 11 x 103 x 17 x 59 = 230688997
Therefore, the lowest common multiple of 319,721,493,413 is 230688997.
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.
319 x 721 x 493 x 413 = 46829866391
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.
319 : 1, 11, 29, 319
721 : 1, 7, 103, 721
493 : 1, 17, 29, 493
413 : 1, 7, 59, 413
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,721,493,413, is 1.
Now, the common factors can be found like this.
319:11x 29
721:7x 103
493:17x 29
413:7x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 29 = 203
Therefore, the value for common factors is 203.
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 = 46829866391/(1x203)
LCM = 46829866391/203
LCM = 230688997
Thus, we can understand that the LCM of 319,721,493,413 is 230688997.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 319, 721, 493, 413
1. What is the LCM of 319, 721, 493, 413?
Answer: LCM of 319, 721, 493, 413 is 230688997.
2. How to calculate the LCM of 319, 721, 493, 413?
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 319, 721, 493, 413.
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}.