LCM of 721, 396, 743, 105, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 721, 396, 743, 105, 414 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 721, 396, 743, 105, 414. So, keep reading to learn more.
Given numbers are 721,396,743,105,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,396,743,105,414 is 24395914620.
Find LCM of 721,396,743,105,414 with Prime Factorization
| 2 | 721, 396, 743, 105, 414 |
| 3 | 721, 198, 743, 105, 207 |
| 3 | 721, 66, 743, 35, 69 |
| 7 | 721, 22, 743, 35, 23 |
| 103, 22, 743, 5, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 103 x 22 x 743 x 5 x 23 = 24395914620
Therefore, the lowest common multiple of 721,396,743,105,414 is 24395914620.
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.
721 x 396 x 743 x 105 x 414 = 9221655726360
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.
721 : 1, 7, 103, 721
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
743 : 1, 743
105 : 1, 3, 5, 7, 15, 21, 35, 105
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,396,743,105,414, is 1.
Now, the common factors can be found like this.
721:7x 103
396:2x 2x 3x 3x 11
743:743
105:3x 5x 7
414:2x 3x 3x 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 3x 3x 3x 7 = 378
Therefore, the value for common factors is 378.
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 = 9221655726360/(1x378)
LCM = 9221655726360/378
LCM = 24395914620
Thus, we can understand that the LCM of 721,396,743,105,414 is 24395914620.
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FAQs on LCM of 721, 396, 743, 105, 414
1. What is the LCM of 721, 396, 743, 105, 414?
Answer: LCM of 721, 396, 743, 105, 414 is 24395914620.
2. How to calculate the LCM of 721, 396, 743, 105, 414?
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 721, 396, 743, 105, 414.
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}.